$D$-module structure of local cohomology modules of toric algebras
From MaRDI portal
Publication:5390247
DOI10.1090/S0002-9947-2012-05372-4zbMath1244.13012arXiv1005.1972OpenAlexW2033745662MaRDI QIDQ5390247
Publication date: 27 April 2012
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.1972
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Local cohomology and commutative rings (13D45) Commutative rings of differential operators and their modules (13N10)
Related Items
Local Cohomology—An Invitation, \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands, The level of pairs of polynomials, Local cohomology modules of polynomial or power series rings over rings of small dimension, On invariants of modules over the ring of differential operators, A remark on bigness of the tangent bundle of a smooth projective variety and D-simplicity of its section rings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(D\)-modules over rings with finite F-representation type
- Characteristic varieties and vanishing cycles
- Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
- Differential operators on toric varieties
- Characteristic cycles of local cohomology modules of monomial ideals
- Finiteness properties of local cohomology modules: A characteristic-free approach
- An analogue of holonomic \(D\)-modules on smooth varieties in positive characteristics
- Characteristic cycles of local cohomology modules of monomial ideals. II
- Finite generation of rings of differential operators of semigroup algebras.
- Bass numbers of semigroup-graded local cohomology.
- Some results on \({\mathcal D}\)-modules on Borel varieties in characteristic \(p>0\)
- Noetherian properties of rings of differential operators of affine semigroup algebras.
- Algorithms for graded injective resolutions and local cohomology over semigroup rings
- Affine duality and cofiniteness
- Generators of \(D\)-modules in positive characteristic
- Bass Numbers of Local Cohomology Modules
- Introduction to Toric Varieties. (AM-131)
- Dualizing Complexes of Affine Semigroup Rings
- Combinatorics of rank jumps in simplicial hypergeometric systems
- Rings of Differential Operators on Invariant Rings of Tori
- Differential Operators on an Affine Curve
- Rings of differential operators on toric varieties
- F-modules: applications to local cohomology and D-modules in characteristic p>0.
- Critical Modules of the Ring of Differential Operators of an Affine Semigroup Algebra
