GENERIC BOUNDS FOR FROBENIUS CLOSURE AND TIGHT CLOSURE
DC Element | Wert | Sprache |
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dc.contributor.author | Brenner, Holger | |
dc.contributor.author | Fischbacher-Weitz, Helena | |
dc.date.accessioned | 2021-12-23T16:05:16Z | - |
dc.date.available | 2021-12-23T16:05:16Z | - |
dc.date.issued | 2011 | |
dc.identifier.issn | 00029327 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/6887 | - |
dc.description.abstract | We use geometric and cohomological methods to show that given a degree bound for membership in ideals of a fixed degree type in the polynomial ring P = k[x(0), ... , x(d)], one obtains a good generic degree bound for membership in the tight closure of an ideal of that degree type in any standard-graded k-algebra R of dimension d 1. This indicates that the tight closure of an ideal behaves more uniformly than the ideal itself. Moreover, if R is normal, one obtains a generic bound for membership in the Frobenius closure. If d <= 2, then the bound for ideal membership in P can be computed from the known cases of the Froberg conjecture and yields explicit generic tight closure bounds. | |
dc.description.sponsorship | EPSRC at the University of SheffieldUK Research & Innovation (UKRI)Engineering & Physical Sciences Research Council (EPSRC); EPSRC at the Universitat OsnabruckUK Research & Innovation (UKRI)Engineering & Physical Sciences Research Council (EPSRC); Research supported by an EPSRC first grant (''Tight closure and strong semistability of vector bundles in higher dimensions'') held at the University of Sheffield and at the Universitat Osnabruck. | |
dc.language.iso | en | |
dc.publisher | JOHNS HOPKINS UNIV PRESS | |
dc.relation.ispartof | AMERICAN JOURNAL OF MATHEMATICS | |
dc.subject | ALGEBRAS | |
dc.subject | Mathematics | |
dc.title | GENERIC BOUNDS FOR FROBENIUS CLOSURE AND TIGHT CLOSURE | |
dc.type | journal article | |
dc.identifier.doi | 10.1353/ajm.2011.0032 | |
dc.identifier.isi | ISI:000293044500002 | |
dc.description.volume | 133 | |
dc.description.issue | 4 | |
dc.description.startpage | 889 | |
dc.description.endpage | 912 | |
dc.identifier.eissn | 10806377 | |
dc.publisher.place | JOURNALS PUBLISHING DIVISION, 2715 NORTH CHARLES ST, BALTIMORE, MD 21218-4363 USA | |
dcterms.isPartOf.abbreviation | Am. J. Math. | |
dcterms.oaStatus | 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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