DC Element | Wert | Sprache |
dc.contributor.author | Bruns, W. | |
dc.contributor.author | Conca, A. | |
dc.contributor.author | Römer, T. | |
dc.date.accessioned | 2021-12-23T16:31:13Z | - |
dc.date.available | 2021-12-23T16:31:13Z | - |
dc.date.issued | 2011 | |
dc.identifier.isbn | 9783642194917 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/16958 | - |
dc.description | Conference of Abel Symposium 2009: Combinatorial Aspects of Commutative Algebra and Algebraic Geometry ; Conference Date: 1 June 2009 Through 4 June 2009; Conference Code:99192 | |
dc.description.abstract | We prove regularity bounds for Koszul cycles holding for every ideal of dimension ≤ 1 in a polynomial ring; see Theorem 3.5. In Theorem 4.7 we generalize the "c 1" lower bound for the Green-Lazarsfeld index of Veronese rings proved in (Bruns et al., arXiv:0902.2431) to the multihomogeneous setting. For the Koszul complex of the c-th power of the maximal ideal in a Koszul ring we prove that the cycles of homological degree t and internal degree t(c 1) belong to the t-th power of the module of 1-cycles; see Theorem 5.2. © Springer-Verlag Berlin Heidelberg 2011. | |
dc.language.iso | en | |
dc.relation.ispartof | Combinatorial Aspects of Commutative Algebra and Algebraic Geometry: The Abel Symposium 2009 | |
dc.subject | Lower bounds | |
dc.subject | Polynomial rings, Algebra | |
dc.subject | Geometry | |
dc.subject | Theorem proving, Combinatorial mathematics | |
dc.title | Koszul cycles | |
dc.type | conference paper | |
dc.identifier.doi | 10.1007/978-3-642-19492-4_2 | |
dc.identifier.scopus | 2-s2.0-84869188002 | |
dc.identifier.url | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84869188002&doi=10.1007%2f978-3-642-19492-4_2&partnerID=40&md5=77833eed0d48b3c433d873f147d4c492 | |
dc.description.startpage | 17 | |
dc.description.endpage | 33 | |
dc.publisher.place | Voss | |
dcterms.isPartOf.abbreviation | Comb. Aspects Commutative Algebra Algebraic Geom.: Abel Symp. | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | BrWi827 | - |
crisitem.author.netid | RoTi119 | - |