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Generalized Eulerian 𝒟-modules in char p > 0

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Publication:4997996
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DOI10.1142/S0219498821501279zbMath1465.13021OpenAlexW3044063058MaRDI QIDQ4997996

Jyoti Singh, Aarti Patle

Publication date: 1 July 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498821501279


zbMATH Keywords

local cohomologyrings of differential operators and their modules


Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Commutative rings of differential operators and their modules (13N10) Modules of differentials (13N05)




Cites Work

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  • A characteristic-free proof of a basic result on \(\mathcal D\)-modules
  • Eulerian graded \(\mathcal{D}\)-modules
  • Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
  • Graded F -modules and local cohomology
  • Bass Numbers of Local Cohomology Modules
  • F-modules: applications to local cohomology and D-modules in characteristic p>0.
  • On derived functors of graded local cohomology modules
  • de Rham cohomology of local cohomology modules: The graded case
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