We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On a generalization of a result of Peskine and Szpiro.
- Authors
PUTHENPURAKAL, TONY J.
- Abstract
Let (R, m) be a regular local ring containing a field K. Let I be a Cohen--Macaulay ideal of height g. If char K = p > 0 then by a result of Peskine and Szpiro the local cohomology modules HIi (R) vanish for i > g. This result is not true if char K = 0. However, we prove that the Bass numbers of the local cohomology module HIg (R) completely determine whether HIi (R) vanish for i >g. The result of this paper has been proved more generally for Gorenstein local rings by Hellus and Schenzel (2008) (Theorem 3.2). However, our result is elementary to prove. In particular, we do not use spectral sequences in our proof.
- Subjects
LOCAL rings (Algebra); NOETHERIAN rings; GORENSTEIN rings; GENERALIZATION; CHAR; COMBUSTION
- Publication
Rendiconti del Seminario Matematico della Universita di Padova, 2024, Vol 151, p77
- ISSN
0041-8994
- Publication type
Article
- DOI
10.4171/RSMUP/131