Iterated local cohomology groups and Lyubeznik numbers for determinantal rings

DOI10.2140/ant.2020.14.2533zbMath1453.13053arXiv1805.08895OpenAlexW3108011169WikidataQ114045576 ScholiaQ114045576MaRDI QIDQ2212129

Claudiu Raicu, András C. Lőrincz

Publication date: 18 November 2020

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.08895

zbMATH Keywords

local cohomologydeterminantal varietiesLyubeznik numbersequivariant \(\mathcal{D}\)-modules

Mathematics Subject Classification ID

Determinantal varieties (14M12) Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items

Local Cohomology—An Invitation, On Lyubeznik type invariants, Local Euler obstructions for determinantal varieties, Local cohomology on a subexceptional series of representations, Holonomic functions and prehomogeneous spaces, Differential operators, retracts, and toric face rings, Hodge ideals for the determinant hypersurface, On categories of equivariant \(\mathcal{D}\)-modules, Finiteness properties and numerical behavior of local cohomology, Lyubeznik numbers for Pfaffian rings, Lyubeznik numbers of irreducible projective varieties depend on the embedding, Equivariant \(\mathcal{D}\)-modules on \(2 \times 2 \times 2\) hypermatrices, EQUIVARIANT -MODULES ON ALTERNATING SENARY 3-TENSORS

Cites Work

• Local cohomology modules supported at determinantal ideals
• Local cohomology with support in generic determinantal ideals
• Elementary construction of perverse sheaves
• On the conormal bundle of the determinantal variety
• Determinantal rings
• Algorithmic computation of local cohomology modules and the local cohomological dimension of algebraic varieties
• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Perverse sheaves on rank stratifications
• On categories of equivariant \(\mathcal{D}\)-modules
• Lyubeznik numbers for Pfaffian rings
• 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
• On the Lyubeznik numbers of a local ring
• The syzygies of some thickenings of determinantal varieties
• Local cohomology with support in ideals of symmetric minors and Pfaffians
• A survey on the Lyubeznik numbers
• Perverse Sheaves and Finite Dimensional Algebras
• Regularity and cohomology of determinantal thickenings
• Homological invariants of determinantal thickenings
• The Geometry of Syzygies
• Lyubeznik numbers for nonsingular projective varieties
• Lyubeznik numbers of irreducible projective varieties depend on the embedding
• Characters of equivariant -modules on spaces of matrices
• Equivariant D-modules on binary cubic forms