Local cohomology modules of a smooth \(\mathbb{Z}\)-algebra have finitely many associated primes

DOI10.1007/s00222-013-0490-zzbMath1318.13025arXiv1304.4692OpenAlexW2951924956MaRDI QIDQ464275

Wenliang Zhang, Gennady Lyubeznik, Bhargav Bhatt, Anurag K. Singh, Manuel Blickle

Publication date: 17 October 2014

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4692

zbMATH Keywords

regular local ringlocal cohomologyassociated primesmooth algebra

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Local cohomology and commutative rings (13D45) Commutative rings of differential operators and their modules (13N10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (17)

Local Cohomology—An Invitation ⋮ Some results on local cohomology of polynomial and formal power series rings: the one dimensional case ⋮ Local cohomology modules supported at determinantal ideals ⋮ On the ring of differential operators of certain regular domains ⋮ Associated primes of local cohomology of flat extensions with regular fibers and \(\varSigma\)-finite \(D\)-modules ⋮ Differential operators on classical invariant rings do not lift modulo \(p\) ⋮ The level of pairs of polynomials ⋮ Lyubeznik numbers and injective dimension in mixed characteristic ⋮ The local cohomology of a parameter ideal with respect to an arbitrary ideal ⋮ Annihilators of local cohomology modules and simplicity of rings of differential operators ⋮ A note on the associated primes of local cohomology modules for regular local rings ⋮ Finiteness properties and numerical behavior of local cohomology ⋮ Cohomological dimension, Lyubeznik numbers, and connectedness in mixed characteristic ⋮ ON THE ASSOCIATED PRIMES OF LOCAL COHOMOLOGY ⋮ Some splitting theorems for local cohomology modules with respect to a pair of ideals ⋮ Cohomological dimension of ideals defining Veronese subrings ⋮ \(F^e\)-modules with applications to \(D\)-modules

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