Prof. Brodmann > Research > | |||||||

| RESEARCH AND PUBLICATION ACTIVITIES
Link: Research Activities since 2000 (Click "Forschung") A. Commutative Algebra / Algebraic GeometryLocal CohomologyStructure of Local Cohomology Modules [22,45,48,49,54,56,64,67,70,71,74,75,93, 95,96,98,104,107] Vanishing- and Finiteness Results [10,17,22,38,45,48,54,64,74,82,86,88,96,98,104,107] Associated Prime Divisors of Local Cohomology Modules [48,49,52,60,62,67,6870,71,74,75] Behaviour of Graded Components of Local Cohomology Modules [45,52,55,60,62,63,67,68,70,71,75,82,83,86,88,93, 95,98,104,107] Cohomology of Projective SchemesCohomological Hilbert Functions [17,26,27,32,34,36,41,42,43,45,50,52,57,58,62,70,71,86,88, 95, 98] Cohomological Patterns [52,55,57,71,88, 97,98] Castelnuovo-Mumford Regularity and Related Invariants [26,27,32,35,36,42,43,45,50,52,57,58,63,76,86,88, 90, 92, 98, 99, 100] Asymptotic Behaviour of Cohomology [52,55,57,71,75,83, 93] Projective Varieties with Specified Numerical InvariantsGeometric Properties [46,47,53,61,72,73,85,87,89,91,94,99,101,102,103] Secant Lines and Projections [46,54,62,73,85,87,89,91,94,99,99,101,102,103] Cohomology [28,37,46,47,51,52,53,61,72,73,87,94,99,101,102,103] Syzygies and Betti Numbers [53,61,72,73,87,99,101,102] Cohomology of Ample Line Bundles [47,51,52] Connectivity in SchemesLocal Cohomology and Connectedness Dimensions [24,25,45,98] Asymptotic Depth and Connectivity [25,31] Rees Rings and MacaulayficationAffine Macaulaufication [3,4] Local Cohomology of Rees- and Form Rings [13,19,22,23,33,35,39,45] Macaulayfication by Blowing-up [13,18,21,34,35,39] Specially Generated Idealsd-Sequences [13,14,16] Standard-Sequences [13,19,23,33,35] Asymptotic Primes and Asymptotic DepthAsymptotic Behaviour of Powers of Ideals [8,9,10] Analytic Spread [9,10,16,45] Asymptotic Behaviour of Components of Graded Modules [10,31,48,60,62] Formal Fibres, Loci and Chains of PrimesFormal Unmixedness and Chain Conditions [1,2,5,11,20,45,56,64,98] Properties of Formal Fibres and Loci [6,7,12,15,20,45,56,64,98] Textbooks and Lecture NotesAlgebraic Geometry [30,45,108] Commutative Algebra [77] Weyl Algebras and D-Modules [100, 108] Local Cohomology [45,51,67,75,90,92] Elementary Number Theory [69,105,106] Courses for Teachers [69,105,106] B. Visualization and Popular Exposition Visualization of SurfacesModels of Closed Surfaces [29,41,59] Blowing-up of Surfaces [29,40,41,44,84] Popular ExpositionGeneral [29,40,41,66,81] |