On invariants of modules over the ring of differential operators

DOI10.1007/s40840-022-01347-4zbMath1506.13044OpenAlexW4283761592WikidataQ114218397 ScholiaQ114218397MaRDI QIDQ2082409

Aarti Patle, Jyoti Singh

Publication date: 4 October 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-022-01347-4

zbMATH Keywords

characteristic cyclelocal cohomologycharacteristic varietycritical conerings of differential operators and their modules

Mathematics Subject Classification ID

Commutative rings of differential operators and their modules (13N10) Local cohomology and algebraic geometry (14B15)

Cites Work

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• 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)
• Local cohomology at monomial ideals
• Characteristic cycles of local cohomology modules of monomial ideals
• Mathematical counterpart of the Heisenberg uncertainty principle
• The analytic continuation of generalized functions with respect to a parameter
• Bass numbers of local cohomology modules with supports in monomial ideals
• Critical cones of characteristic varieties
• On derived functors of graded local cohomology modules
• $D$-module structure of local cohomology modules of toric algebras
• Irreducible components of characteristic varieties.

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