Quantifying singularities with differential operators
Autor(en): | Brenner, Holger Jeffries, Jack Nunez-Betancourt, Luis |
Stichwörter: | BERNSTEIN-SATO POLYNOMIALS; COHOMOLOGY; D-modules; EQUIVALENCE; F-SIGNATURE; GROBNER BASES; IDEALS; LOG CANONICITY; Mathematics; MODULES; Numerical invariants; PURITY; REGULAR LOCAL-RINGS; Rings of invariants; Singularities | Erscheinungsdatum: | 2019 | Herausgeber: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Journal: | ADVANCES IN MATHEMATICS | Volumen: | 358 | Zusammenfassung: | 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. (C) 2019 Elsevier Inc. All rights reserved. |
ISSN: | 00018708 | DOI: | 10.1016/j.aim.2019.106843 |
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geprüft am 17.05.2024