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Quantifying singularities with differential operators.
- Source :
-
Advances in Mathematics . Dec2019, Vol. 358, pN.PAG-N.PAG. 1p. - Publication Year :
- 2019
-
Abstract
- The F -signature of a local ring of prime characteristic is a numerical invariant that detects many interesting properties. For example, this invariant detects (non)singularity and strong F -regularity. However, it is very difficult to compute. Motivated by different aspects of the F -signature, we define a numerical invariant for rings of characteristic zero or p > 0 that exhibits many of the useful properties of the F -signature. We also compute many examples of this invariant, including cases where the F -signature is not known. We also obtain a number of results on symbolic powers and Bernstein-Sato polynomials. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIFFERENTIAL operators
*LOCAL rings (Algebra)
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 358
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 139503634
- Full Text :
- https://doi.org/10.1016/j.aim.2019.106843