http://www.math.uzh.ch/
http://www.uzh.ch/

Prof. Brodmann > Publications >   
Research
Publications
Theses
Talks and Teaching
webmaster
PUBLICATIONS


Publications and Preprints (Complete List)

Link: Publications and Preprints since 1999 (includes PDF's to be loaded down) (Click "Publikationen/Publications")


108. M.Brodmann (cf. No 100)

Notes on Weyl Algebras an D-Modules

in: Four Lecture Notes on Commutative Algebra (Ed.: Nguyen Tu Cuong, Le Tuan Hoa, Ngo Viet Trung); Lecture Notes Series of the Vietnam Institute for Advanced Study in Mathematics, Volume 4 (2015) 7-97

 

107. M.Brodmann

Bounding cohomology of coherent sheaves over projective schemes

Journal of Theoretical and Computstional Mathematics, Vol. 2, No. 1, March 2016, 6-70

 

106. M.Brodmann

LECTURE NOTES: Around the circle

Notes based on a Course for Mathematics Teachers in Kabale Region, held at St. Mary's College Rushoroza, Kabale/Uganda, 28.April - 2.May 2014

 

105. M.Brodmann

LECTURE NOTES: Brüche und Kurven - Ein Blick auf die Diophantische Geometrie

Skript und Vertiefungsstext zu einem Weiterbidungskurs für Lehrerinnen und Lehrer an Maturitätsschulen; Institut für Erziehungswissenschaften und Institut für Mathematik, Universität Zürich, 9. April 2014

 

104. M.Brodmann, C.H.Linh

Castelnuovo-Mumford regularity, postulation numbers and relation types

Journal of Algebra 419 (2014) 124-140; available online 25.August 2014; DOI:10:1016/j.jalgegra.2014.07.2014

 

103. M.Brodmann, E.Park

On linear projections of quadratic varieties

Proceedings of the American Mathematical Society, Volume 144, Number 6, June 2016, 2307-2314; electronically published: October 14, 2015; DOI: dx.doi.org/10.1019/proc/12885

 

102. M.Brodmann, W.Lee, E.Park, P.Schenzel

On surfaces of maximal sectional regularity

Taiwanese Journal of Mathematics 21, No 3 (2017) 549-576

 

101. M.Brodmann, W.Lee, E.Park, P.Schenzel

Projective varieties of maximal sectional regularity

Journal of Pure and Applied Algebra 221 (2017) 98 - 118; available online: 2. June 2016; DOI: dx.doi.org/10.1016/j.jpaa.2016.05.028

 

100. M.Brodmann

LECTURE NOTES: Notes on Weyl algebras and D-modules

Notes for the two Courses "Introduction to Weyl Algebras and D-Modules" University if Thai Nguyen, Thai Nguyen/Vietnam, 1.-10. November 2013 and "Weyl Algebras, Universal Gröbner Bases, Filtration Deformations and Characteristic Varieties" Vietnam Institute for Advanced Study in Mathematics (VIASM), Hanoi/Vietnam 16.-26. November 2013

 

99. M.Brodmann, W.Lee, E.Park, P.Schenzel

Projective surfaces of maximal sectional regularity

Preliminary Version, Preprint (2013)

 

98. M.Brodmann, R.Y.Sharp

TEXTBOOK: Local Cohomology-An Algebraic Introduction with Geometric Applications. Second Edition

Cambridge Studies in Advanced Mathematics 163 (2012) 505 pages, 330 exercises,

ISBN 9780521513630

 

97. M.Brodmann, A.Cathomen, B.Keller

Bounding patterns for the cohomology of vector bundles

Proceedings of the American Mathematical Society 142, Number 7, July 2014, Pages 2327-2336; electronically published on March 19, 2014 / DOI: S 0002-9939(2014)12142-3

 

96. M.Brodmann, L.T.Nhan

On canonical Cohen-Macaulay modules

Journal of Algebra 371 (2012) 480-491 / DOI: 10.1016/j.jalgebra.2012.09.002; published on-line 12 September 2012

 

95. M.Brodmann, C.H.Linh, M.H.Seiler

Castelnuovo-Mumford regularity of annihilators, Ext- and Tor- modules 

in: Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday (I. Peeva, Ed.), pg. 207-236, Chapter 6; DOI 10.1007/978-1-4614-5292-8_6, Springer Science & Business Media New York Heidelberg Dordrecht London (2013)

 

94. M.Brodmann, P.Schenzel

Projective surfaces of degree r+1 in projective r-space and almost non-singular projections

Journal of Pure and Applied Algebra 216 (2012) 2241-2255 / DOI:10.1016/j.jpaa.2012.03.008; published online 12 March 2012

 

93. M.Brodmann, M.Jahangiri

Tame loci of certain local cohomology modules

Journal of Commutative Algebra 4, No 1, Spring 2012, 79-100 (2012)

 

92. M.Brodmann

LECTURE NOTES: Bounding cohomology of projective schemes, Lecture Notes for the CIMPA-Tubitak Summer School on Commutative Algebra and  Applicationss to Combinatorics and Algebraic Geometry, 15.-25. September 2010, Istanbul/Turkey (2010)

 

91. M.Brodmann, E.Park

On varieties of almost minimal degree III: Tangent spaces and embedding scrolls

 Journal of Pure and Applied Algebra 215 (2011) 2859-2872 / doi: 10.1016/j.jpaa.2011.04.006; electronically published 12 May 2011

 

90. M.Brodmann

LECTURE NOTES: Around Castelnuovo-Mumford regularity 

Lecture Notes, Preliminary Version (August 2010)

 

89. M.Brodmann, E.Park, P.Schenzel

On varieties of almost minimal degree II: A rank-depth formula

 Proceedings ot the AMS 139 (2011) 2025-2032 / DOI: 10.1090/S0002-9939-2010-10667-6; electronically published 24 November 2010 

 

88. M.Brodmann, M.Jahangiri, C.Linh

Boundedness of cohomology

Journal of Algebra 323 (2010) 458 - 472 / doi:10.1016/j.algebra.2009.07.032; electronically published 26 August 2009

 

87. M.Brodmann, P.Schenzel

 Projective curves with maximal regularity and applications to syzygies and surfaces

Manuscripta Mathematica 135 (2011) 469-495; DOI: 10.1007/s00229-011-0426-0; electronically published 19 January 2011

 

86. M.Brodmann, M.Jahangiri, C.Linh

 Castelnuovo-Mumford regularity of deficiency modules

Journal of Algebra 322 (2009) 12816-12838 / doi:10.1016/j.jalgebra.2009.06.027; electronically published 14 August 2009

 

85. M.Brodmann, E.Park

 On varieties of almost minimal degree I: secant loci of rational normal scrolls

Journal of Pure and Applied Algebra 214 (2010) 2033-2043 / doi: 10.1016/j.jpaa.2010.02.009; electronically published 7 March 2010

 

84. M.Brodmann

 Blowing-Up! 

KIAS Newsletter, Korea Institute for Advanced Study / March 1st, 2009 / pg. 40-43

Preprint (2008)

 

83. R.Bär, M.Brodmann

Asymptotic depth of twisted higher direct image sheaves

Proceedings of the American Mathematical Society 137, Number 6 (2009) 1945-1950; S0002-9939(08)09759-1; electronically published 17 December 2008

 

82. M.Brodmann, R.Y.Sharp

 Supporting degrees of multi-graded local cohomology modules

Journal of Algebra 321 (2009) 450-482 / DOI:10.1016/j.jalgebra.2008.19.013 

 

81. M.Brodmann

 Zur Dissertation von Emil Bruggmann

in: B.Oetterli (Hrsg.) "Kleine Welt und grosse Welt - um ein Thurgauer Dorfschulhaus / ein Lesebuch zu 100 Jahre Schulhaus Dozwil (1907-2007)" , 119-124 (2007)

 

80. M.Brodmann, LT.Nhan

 A finiteness result for associated primes of certain Ext-modules

Communications in Algebra 36(04), 1527-1536 (2008)

 

79. M.Brodmann, S.Kurmann, F.Rohrer

 An avoidance principle with an application to the asymptotic behaviour of graded local cohomology

Journal of Pure and Applied Algebra 210, 639-643 (2007)

 

78. M.Brodmann, Th. Götsch

 Bounds for the Castelnuovo-Mumford regularity

Journal of Commutative Algebra 1, No 2, Summer 2009, 197-225 (2009) / DOI:10.1216/JCA-2009-1-2-1

 Preprint (2005/2006/2008)

 

77. M.Brodmann, R.Boldini. F.Rohrer

 LECTURE NOTES: Kommutative Algebra, Vorlesungsskript, Universität Zürich 

 vorläufige Fassung der Kapitel 1-13 (2005/2006/2009)

 

76. M.Brodmann

 A cohomological stability result for projective schemes over surfaces

 Crelle's Journal für die Reine und Angewandte Mathematik 606, 179-192 (2007)

 

75. M.Brodmann

 Four lectures on local cohomology

 in: T. Trivikraman, K.V. Geetha, Sr. Lilly P.L. (Eds.): " Commutative Algebra and Algebraic Geometry" , Proceedings of the International Workshop on Commutative Algebra and Algebraic Geometry, Irinjalakuda,Kerala/India, July 18-23, 2005; 3-46 (2006) 

 

74. M.Brodmann, P.Schenzel

 On varieties of almost minimal degree in small codimension

 Journal of Algebra 305, 789-801 (2006) ; electronically published 2 May 2006

 

73. M.Brodmann, P.Schenzel

 Arithmetic properties of projective varieties of almost minimal degree

 Journal of Algebraic Geometry 16, 347-400 (2007); electronically published 22 January 2007

 

72. M.Brodmann 

 Asymptotic behaviour of cohomology: tameness, supports and associated primes

 in: S.Ghorpade, H.Srinivasan, J.Verma (Eds.) "Commutative Algebra and Algebraic 

 Geometry" Joint International Meeting of the American Mathematical Society and the Indian Mathematical Society on Commutative Algebra and Algebraic Geometry, Bangalore/India, December 17-20, 2003, Contemporary Mathematics Vol 390, 31-61 (2005)

 

71. M. Brodmann, F. Rohrer, R.Sazeedeh

 Multiplicities of graded components of local cohomology modules

 Journal of Pure and Applied Algebra 197, 249-278 (2005) ; electronically published 22 October 2004 

 

70. M. Brodmann, F.Rohrer

 LECTURE NOTES: Zahlentheorie für Studierende des Lehramts der Sekundarstufe I, Vorlesungsskipt mit Musterlösungen; Universität Zürich/Pädagogische Hochschule Zürich

 (2004/2005/2006)

 

69. M.Brodmann, F.Rohrer

 Hilbert-Samuel coefficients and postulation numbers of graded components of certain local 

 cohomology modules

 Proceedings of the American Mathematical Society 133, Number 4, 987-993 (2005); electronically published 19 November 2004

 

68. M.Brodmann, S.Fumasoli, C.S.Lim

 Low-codimensional associated primes of graded components of local cohomology modules

 Journal of Algebra 275, 867-882 (2004)

 

67. M.Brodmann, S.Fumasoli, F.Rohrer

 LECTURE NOTES: First lectures on local cohomology (Revised and extended version) Preprint (2003/2004/2006/2007)

 

66. M.Brodmann, M.Huber, J.Kramer

 Zum 100. Geburtstag von J.J. Burckhardt

 Elemente der Mathematik 58, 133-133 (2003)

 

65. M.Brodmann, R.Y.Sharp 

 Geometric domains with specified pseudo-dimensions

 Journal of Pure and Applied Algebra 182, 151-164 (2003)

 

64. M.Brodmann

 Castelnuovo-Mumford regularity and degrees of generators of graded submodules

 Illinois Journal of Mathematics Volume 47, Number 3, Fall 2003, 749-767 (2003)

 

63. M.Brodmann, S.Fumasoli, R.Tajorod

 Local cohomology over homogeneous rings with one-dimensional local base ring

 Proceedings of the AMS 131, Number 10, 2977-2985 (2003)

 

62. M.Brodmann, P.Schenzel

 On projective curves of maximal regularity

 Mathematische Zeitschrift 244, 271-289 (2003)

 

61. M.Brodmann, M.Katzmann, R.Y.Sharp

 Associated primes of graded components of local cohomology modules

 Transactions of the AMS 354, Number 11, 4261-4283 (2002) 

 

60. M.Brodmann

 Strips, Tubes, Bottles, Caps, Umbrellas-a few Examples of Visualizations of Surfaces

 Bulletin of the Bombay Mathematical Colloquium 17:1-2, January 2001, 1-26 (2002)

 

59. M.Brodmann, A.F.Lashgari

 A diagonal bound for cohomological postulation numbers of projective schemes

 Journal of Algebra 265, 631-650 (2003)

 

58. M.Brodmann, C.Matteotti, N.D.Minh

 Bounds for cohomological deficiency functions of projective schemes over artinian rings

 Vietnam Journal of Mathematics 31:1, 71-113 (2003)

 

57. M.Brodmann, R.Y.Sharp

 On the dimension and the multiplicity of local cohomology modules

 Nagoya Mathematical Journal 167, 217-233 (2002)

 

56. M.Brodmann, M.Hellus

 Cohomological patterns of coherent sheaves over projective schemes

 Journal of Pure and Applied Algebra 172, 165-182 (2002)

 

55. M. Brodmann

 A rigidity result for highest order local cohomology modules

 Archiv der Mathematik 79, 87-92 (2002)

 

54. M.Brodmann, P.Schenzel

 Curves of degree r+2 in P(r): Cohomological, geometric and homological aspects

 Journal of Algebra 242, 577-623 (2001)

 

53. M.Brodmann

 Cohomological invariants of coherent sheaves over projective schemes-a survey

 in: G.Lyubeznik (Ed) "Local Cohomology and its Applications" conference Guanajuato 

 1999, M.Dekker Lecture Notes 226, 91-120 (2001)

 

52. C.Albertini, M.Brodmann

 A bound on certain local cohomology modules and application to ample divisors

 Nagoya Mathematical Journal 163, 87-106 (2001)

 

51. M.Brodmann

 LECTURE NOTES: Lectures on local cohomology

 Institute of Mathematics, Hanoi (2001)

 

50. M.Brodmann, C.Matteotti, N.D.Minh

 Bounds for cohomological Hilbert functions of projective schemes over artinian rings

 Vietnam Journal of Mathematics 28:4, 345-384 (2000)

 

49. M.Brodmann, A.F.Lashgari

 A finiteness result for associated primes of local cohomology modules

 Proceedings of the AMS 128, 2851-2853 (2000)

 

48. M.Brodmann, C.Rotthaus, R.Y.Sharp

 On annihilators and associated primes of local cohomology modules

 Journal of Pure and Applied Algebra 153, 197-227 (2000) 

 

47. M.Brodmann

 Cohomology of surfaces in P(r) of degree less or equal 2r-2

 in: F.van Oystayen (Ed) "Commutative Algebra and Algebraic Geometry" conference in 

 honour of M.Fiorentini, Ferrara 1999

 M.Dekker Lecture Notes 206, 15-33 (1999)

 

46. M. Brodmann

 Cohomology of certain projective surfaces with low sectional genus and low degree

 in: D.Eisenbud (Ed) "Commutative Algebra, Algebraic Geometry and Computational 

 Methods" International Conference Hanoi/Vietnam August 1996, 173-200, Springer 

 (1999)

 

45. M.Brodmann, R.Y.Sharp 

TEXTBOOK: Local Cohomology-An Algebraic Introduction with Geometric Applications

Cambridge Studies in Advanced Mathematics 60, Cambridge University Press (1998)

416 pages, 5 illustrations, ISBN 0 521 37286 0.

 

44. M.Brodmann

 Computerbilder von Aufblasungen

 Elemente der Mathematik 50, 149-163 (1995)

 

43. M.Brodmann, U.Nagel

 Bounding cohomological Hilbert functions by hyperplane sections

 Journal of Algebra 174, 323-348 (1995)

 

42. M.Brodmann

 Generalized Castelnuovo bounds

 Note di Matematica e Fisica, Edizioni CERFIM Locarno, Vol 7, 79-120 (1995)

 

41. M.Brodmann

 Vom Moebius-Band zur Hilbert-Funktion: "die Arithmetisierung der Gestalt" (dargestellt an 

 klassischen und an aktuellen Beispielen)

 Projekt-Entwurf und -Dokumentation zur Nationalen Forschungsausstellung Heureka 

 1991, Note di Matematica e Fisica, Edizione CERFIM Locarno, Vol 7, 19-77 (1995)

 

40. M.Brodmann

 Mathematik anschaulich machen

 UNIZH-Magazin 2/94, 41-42 & ETH-Bulletin Nr. 254, 41-43 (1994)

 

39. M. Brodmann

 A few remarks on "Macaulayfication" of sheaves

 in: W.Bruns, J.Herzog, M.Hochster, U.Vetter (Ed) "Commutative Algebra" International 

 Conference Vechta 1994

 Vechtaer Universitaetsschriften 13, 29-32 Runge Cloppenburg (1994)

 

38. M.Brodmann, C.Huneke

 A quick proof of the Hartshorne-Lichtenbaum vanishing theorem

 in: C.L.Bajaj (Ed) "Algebraic Geometry and its Applications" in hounour of S.S.Abhyankar, 

 305-308, Springer (1994) 

 

37. M.Brodmann, W.Vogel

 Bounds on the cohomology and the Castelnuovo regularity of certain surfaces

 Nagoya Mathematical Journal 131, 109-126 (1993)

 

36. M.Brodmann

 A priori bounds of Severi type for cohomological Hilbert functions

 Journal of Algebra 155, 298-324 (1993)

 

35. M.Brodmann

 Typical sheaves of generalized Cohen-Macaulay modules

 manuscripta mathematica 76, 181-192 (1992)

 

34. M.Brodmann

 Sectional genus and cohomology of projective varieties

 Mathematische Zeitschrift 208, 101-126 (1991)

 

33. M.Brodmann

 Cohomology of standard blowing-up

 Journal of Algebra 143, 401-435 (1991)

 

32. M.Brodmann

 A priori bounds of Castelnuovo type for cohomological Hilbert functions of a projective 

 variety, Commentarii Mathematici Helvetici 65, 478-518 (1990)

 

31. M.Brodmann

 Asymptotic depth and connectedness in projective schemes

 Proceedings of the AMS 108, 573-581 (1990)

 

30. M.Brodmann

 TEXTBOOK: Algebraische Geometrie-eine Einführung

 Basler Lehrbücher Band 1, Birkhäuser Verlag Basel-Boston-Berlin (1989) 470 pages, 79 illustrations, ISBN 3-7643-1779-5.

 

29. M.Brodmann

 Mathematik: Handwerk-Philosophie-Kunst

 Perspektiven (Zeitschrift fuer Berufs- und Studienberatung, Zuerich) 4/89, 10-13 (1989)

 

28. M.Brodmann

 A bound for the first cohomology of a projective surface

 Archiv der Mathematik 50, 68-72 (1988)

 

27. M.Brodmann

 Bounds on the cohomological Hilbert functions of a projective variety

 Journal of Algebra 109, 352-380 (1987)

 

26. M.Brodmann

 Bounds on the Serre cohomology of projective varieties

 Czechoslowak Mathematical Journal 112, 238-244 (1987)

 

25. M.Brodmann

 A few remarks on blowing-up and connectedness

 Journal fuer die Reine und Angewandte Mathematik 370, 51-60 (1986)

 

24. M.Brodmann, J.Rung

 Local cohomology and connectedness-dimension in algebraic varieties

 Commentarii Mathematici Helvetici 61, 481-490 (1986)

 

23. M.Brodmann

 Local cohomology of certain Rees- and form-rings II

 Journal of Algebra 86, 457-493 (1984)

 

22. M.Brodmann

 Einige Ergebnisse aus der lokalen Kohomologietheorie und ihre Anwedung

 Osnabüecker Schriften zur Mathematik, Heft 5 (1983)

 

21. M.Brodmann

 Two types of birational models

 Commentarii Mathematici Helvetici 58, 388-415 (1983)

 

20. M.Brodmann, C.Rotthaus

 A peculiar unmixed domain

 Proceedings of the AMS 87, 596-600 (1983)

 

19. M.Brodmann

 Local cohomology of certain Rees- and form-rings I

 Journal of Algebra 81, 29-57 (1983)

 

18. M.Brodmann

 Some remarks on blow-up and conormal cones

 in: S.Greco, G.Valla (Ed) "Commutative Algebra" conference Trento/Italy June 1981

 M.Dekker Lecture Notes 84, 23-37 (1982)

 

17. M.Brodmann

 A lifting principle for local cohomology of graded modules

 Proceedings of the Cambridge Philosophical Society 92, 221-229 (1982)

 

 

16. M.Brodmann

 Rees-rings and form-rings of almost complete intersections

 r Nagoya Mathemaical Journal 88, 1-17 (1982)

 

15. M.Brodmann, C.Rotthaus

 Local domains with bad sets of formal prime divisors

 Journal of Algebra 75, 386-394 (1982)

 

14. M.Brodmann

 Primbasen und d-Folgen fuer Ideale kleiner Erzeugendenzahl

 Archiv der Mathematik 36, 216-220 (1981)

 

13. M.Brodmann

 Kohomologische Eigenschaften von Aufblasungen an lokal vollstaendigen Durchschnitten

 Habilitationsschrift, Westfaelische Wilhelmsuniversitaet Muenster (1980)

 

12. M.Brodmann, C.Rotthaus

 Ueber den regulaeren Ort in ausgezeichneten Ringen

 Mathematische Zeitschrift 175, 81-85 (1980)

 

11. M.Brodmann

 Piecewise catenarian and going-between rings

 Pacific Journal of Mathematics 86, 415-419 (1980)

 

10. M.Brodmann

 Finiteness of ideal transforms

 Journal of Algebra 63, 162-185 (1980)

 

9. M.Brodmann

 The asymptotic nature of the analytic spread

 Mathematical Proceedings of the Cambridge Philosophical Society 86, 35-39 (1979)

 

8. M.Brodmann

 Asymptotic stability of Ass(M/I^nM)

 Proceedings of the AMS 74, 16-19 (1979)

 

7. M.Brodmann

 Eine Bemerkung zur Theorie der P-Ringe

 Mathematische Zeitschrift 160, 235-240 (1978)

 

6. M.Brodmann

 A particular class of regular domains

 Journal of Algebra 54, 366-373 (1978)

 

5. M.Brodmann

 On some results of L.J.Ratliff

 Compositio Mathematica 36, 83-99 (1978)

 

4. M.Brodmann

 A Macaulayfication of unmixed domains

 Journal of Algebra 44, 221-234 (1977)

 

3. M.Brodmann

 Une Macaulification de certains anneaux locaux

 in: J.Guerindon (Ed) "Colloque d'algebre commutative" conference Rennes 1976, 

 exp. no 9, 12 p (1976)

 

2. M.Brodmann

 Ueber die minimale Dimension der assoziierten Primideale der Kompletion eines lokalen 

 Integritaetsbereiches

 Commentarii Mathemaici Helvetici 50, 219-232 (1975)

 

1. M.Brodmann

 Ueber die minimale Dimension der assoziierten Primideale der Kompletion eines lokalen 

 Integritaetsbereiches

 Dissertation, Universitaet Basel (1974)