Quantifying singularities with differential operators
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Brenner, Holger | |
dc.contributor.author | Jeffries, Jack | |
dc.contributor.author | Nunez-Betancourt, Luis | |
dc.date.accessioned | 2021-12-23T16:08:58Z | - |
dc.date.available | 2021-12-23T16:08:58Z | - |
dc.date.issued | 2019 | |
dc.identifier.issn | 00018708 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/8546 | - |
dc.description.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. (C) 2019 Elsevier Inc. All rights reserved. | |
dc.description.sponsorship | NSF Grant DMS [1606353, 1502282]; CONACYTConsejo Nacional de Ciencia y Tecnologia (CONACyT) [284598]; The second author was partially supported by the NSF Grant DMS #1606353.r The third author was partially supported by the NSF Grant DMS #1502282 and CONACYT Grant #284598. | |
dc.language.iso | en | |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | |
dc.relation.ispartof | ADVANCES IN MATHEMATICS | |
dc.subject | BERNSTEIN-SATO POLYNOMIALS | |
dc.subject | COHOMOLOGY | |
dc.subject | D-modules | |
dc.subject | EQUIVALENCE | |
dc.subject | F-SIGNATURE | |
dc.subject | GROBNER BASES | |
dc.subject | IDEALS | |
dc.subject | LOG CANONICITY | |
dc.subject | Mathematics | |
dc.subject | MODULES | |
dc.subject | Numerical invariants | |
dc.subject | PURITY | |
dc.subject | REGULAR LOCAL-RINGS | |
dc.subject | Rings of invariants | |
dc.subject | Singularities | |
dc.title | Quantifying singularities with differential operators | |
dc.type | journal article | |
dc.identifier.doi | 10.1016/j.aim.2019.106843 | |
dc.identifier.isi | ISI:000497254300004 | |
dc.description.volume | 358 | |
dc.contributor.researcherid | AAT-3961-2021 | |
dc.identifier.eissn | 10902082 | |
dc.publisher.place | 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA | |
dcterms.isPartOf.abbreviation | Adv. Math. | |
dcterms.oaStatus | Bronze, Green Submitted | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | BrHo921 | - |
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geprüft am 07.06.2024