Vanishing of local cohomology and set-theoretically Cohen–Macaulay ideals

Majid Eghbali, Alberto F. Boix

Research output: Contribution to journalArticlepeer-review


In this paper, first, we generalize a result of Peskine–Szpiro on the relation between the cohomological dimension and projective dimension. Then, we give conditions for the vanishing of local cohomology from local to global and vice versa. Our final goal in the present paper is to examine the set-theoretically Cohen–Macaulay ideals to find some cohomological characterization of these kinds of ideals.

Original languageEnglish
JournalRendiconti del Circolo Matematico di Palermo
StateAccepted/In press - 1 Jan 2022
Externally publishedYes


  • Cohomological dimension
  • Linkage
  • Local cohomology
  • Projective dimension
  • Ring endomorphism
  • Set-theoretically Cohen–Macaulay ideals

ASJC Scopus subject areas

  • Mathematics (all)


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