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- Title
The Support of Local Cohomology Modules.
- Authors
Katzman, Mordechai; Zhang, Wenliang
- Abstract
We describe the support of |$F$| -finite |$F$| -modules over polynomial rings |$R$| of prime characteristic. Our description yields an algorithm to compute the support of such modules; the complexity of our algorithm is also analysed. To the best of our knowledge, this is the first algorithm to avoid extensive use of Gröbner bases and hence of substantial practical value. We also use the idea behind this algorithm to prove that the support of |$H^j_I(S)$| is Zariski closed for each ideal |$I$| of |$S$| where |$R$| is noetherian commutative ring of prime characteristic with finitely many isolated singular points and |$S=R/gR$| (|$g\in R$|).
- Subjects
COHOMOLOGY theory; POLYNOMIAL rings; GROBNER bases; NOETHERIAN rings; ALGORITHMS; FROBENIUS groups
- Publication
IMRN: International Mathematics Research Notices, 2018, Vol 2018, Issue 23, p7137
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnx094