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Lyubeznik numbers, F-modules and modules of generalized fractions.
- Source :
-
Transactions of the American Mathematical Society . Sep2022, Vol. 375 Issue 9, p6621-6651. 31p. - Publication Year :
- 2022
-
Abstract
- This paper presents an algorithm for calculation of the Lyubeznik numbers of a local ring which is a homomorphic image of a regular local ring R of prime characteristic. The methods used employ Lyubeznik's F-modules over R, particularly his F-finite F-modules, and also the modules of generalized fractions of Sharp and Zakeri [Mathematika 29 (1982), pp. 32–41]. It is shown that many modules of generalized fractions over R have natural structures as F-modules; these lead to F-module structures on certain local cohomology modules over R, which are exploited, in conjunction with F-module structures on injective R-modules that result from work of Huneke and Sharp [Trans. Amer. Math. Soc. 339 (1993), pp. 765–779], to compute Lyubeznik numbers. The resulting algorithm has been implemented in Macaulay2. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LOCAL rings (Algebra)
*NOETHERIAN rings
*COMMUTATIVE rings
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 375
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 158813115
- Full Text :
- https://doi.org/10.1090/tran/8722