About the cohomological dimension of certain stratified varieties

DOI10.1090/proc/13691zbMath1390.14143arXiv1503.02283OpenAlexW2963472043MaRDI QIDQ4592741

Mihai Halic, Roshan Tajarod

Publication date: 8 November 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society, Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02283

zbMATH Keywords

toric varietiesvector bundlescohomological dimensionflag varietieslocal cohomologysplitting criteriaaffine stratificationglobally generated vector bundlesarithmetically Cohen Macaulay surfaces

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Cohomological dimension of fields (12G10) Group actions on varieties or schemes (quotients) (14L30) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Local cohomology and algebraic geometry (14B15)

Related Items (2)

Splitting criteria for vector bundles induced by restrictions to divisors ⋮ Partially ample subvarieties of projective varieties

Cites Work

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• Ample subvarieties and \(q\)-ample divisors
• On the vanishing of local cohomology modules
• Cohomological dimension of non-complete hypersurfaces
• A decomposition theorem for the integral homology of a variety
• Formale Geometrie und homogene Räume
• Local cohomological dimension of algebraic varieties
• Algorithmic computation of local cohomology modules and the local cohomological dimension of algebraic varieties
• Semistable sheaves in positive characteristic
• Some theorems on actions of algebraic groups
• A generalization of Lichtenbaum's theorem on the cohomological dimension of algebraic varieties
• On some local cohomology modules
• Cohomological dimension of algebraic varieties
• Vector bundles on Abelian surfaces
• Sur quelques points d'algèbre homologique
• The Noether-Lefschetz theorem for the divisor class group
• The Grothendieck-Lefschetz theorem for normal projective varieties
• Rank 2 arithmetically Cohen-Macaulay bundles on a general quintic surface
• Some Algebraic Sets of High Local Cohomological Dimension in Projective Space
• Projective Models of K - 3 Surfaces
• Über lokale Kohomologiegruppen hoher Ordnung.
• Vector Bundles on the Punctured Spectrum of a Local Ring
• Vector Bundles on Algebraic Surfaces
• Linear algebraic groups.

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