BETTI NUMBERS AND SHIFTS IN MINIMAL GRADED FREE RESOLUTIONS
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Roemer, Tim | |
dc.date.accessioned | 2021-12-23T15:56:22Z | - |
dc.date.available | 2021-12-23T15:56:22Z | - |
dc.date.issued | 2010 | |
dc.identifier.issn | 00192082 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/2312 | - |
dc.description.abstract | Let S = K[x(1), ... , x(n)] be a polynomial ring and R=S/1 where 1 subset of S is a graded ideal. The Multiplicity Conjecture of Herzog. Huneke, and Srinivasan winch was recently proved using the Boij-Soderberg theory states that the multiplicity of R is bounded above by a function of the maximal shifts in the minimal graded free resolution of R over S as well as bounded below by a function of the minimal shifts if R is Cohen-Macaulay. In this paper, we study the related problem to show that the total Betti-numbers of R are also bounded above by a function of the shifts in the minimal graded free resolution of R its well as bounded below by another function of the shifts if R is Cohen-Macaulay. We also discuss the cases when these bounds are sharp. | |
dc.language.iso | en | |
dc.publisher | UNIV ILLINOIS URBANA-CHAMPAIGN | |
dc.relation.ispartof | ILLINOIS JOURNAL OF MATHEMATICS | |
dc.subject | BOUNDS | |
dc.subject | IDEALS | |
dc.subject | Mathematics | |
dc.subject | MODULES | |
dc.subject | MULTIPLICITY CONJECTURE | |
dc.subject | PURE | |
dc.title | BETTI NUMBERS AND SHIFTS IN MINIMAL GRADED FREE RESOLUTIONS | |
dc.type | journal article | |
dc.identifier.doi | 10.1215/ijm/1318598667 | |
dc.identifier.isi | ISI:000298441200002 | |
dc.description.volume | 54 | |
dc.description.issue | 2 | |
dc.description.startpage | 449 | |
dc.description.endpage | 467 | |
dc.publisher.place | DEPT MATH, 1409 W GREEN ST, URBANA, IL 61801 USA | |
dcterms.isPartOf.abbreviation | Ill. J. Math. | |
dcterms.oaStatus | Green Submitted, hybrid | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | RoTi119 | - |
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geprüft am 07.06.2024