Local cohomology of module of differentials of integral extensions

Research output: Contribution to journalArticlepeer-review


The main focus of this paper is on determining the highest non-vanishing local cohomology modules of ΩB/RB/VB/k) where R is either a complete regular local ring or a complete local normal domain with coefficient ring V (field k) and B is its integral closure in an algebraic extension of Q(R). Similar problem is also studied over a normal domain R containing a field k of characteristic 0. In this connection new observations on the direct summand property for integral extensions are also presented.

Original languageEnglish (US)
Pages (from-to)136-156
Number of pages21
JournalJournal of Algebra
StatePublished - Sep 15 2021


  • Formally unramified extensions
  • Geometric regularity
  • Integral extension
  • Local cohomology
  • Module of differentials

ASJC Scopus subject areas

  • Algebra and Number Theory


Dive into the research topics of 'Local cohomology of module of differentials of integral extensions'. Together they form a unique fingerprint.

Cite this