Local cohomology along exceptional sets

DOI10.1007/BF01459144zbMath0583.32026MaRDI QIDQ1070069

Ulrich Karras

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164177

zbMATH Keywords

Serre dualityclosed analytic subsetexceptional subsetlocal cohomology along exceptional sets

Mathematics Subject Classification ID

Sheaf cohomology in algebraic topology (55N30) Local cohomology and algebraic geometry (14B15) Duality theorems for analytic spaces (32C37) Local cohomology of analytic spaces (32C36)

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Cites Work

• Unnamed Item
• Dualität in der lokalen Kohomologie isolierter Singularitäten
• Simultaneous resolution and discriminantal loci
• Vanishing theorems for resolutions of surface singularities
• Equisingular deformations of normal surface singularities. I
• Über Modifikationen und exzeptionelle analytische Mengen
• Ein Endlichkeitssatz in der analytischen Geometrie
• Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen
• Complexe dualisant et théorèmes de dualité en géométrie analytique complexe
• Gap-sheaves and extension of coherent analytic subsheaves
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Dualité relative en géométrie analytique complexe
• Théorèmes de finitude pour la cohomologie des espaces complexes
• On Serre Duality and Envelopes of Holomorphy
• On Rational Singuarities
• On the De Rham cohomology of algebraic varieties