DC Element | Wert | Sprache |
dc.contributor.author | Bruns, W. | |
dc.contributor.author | Conca, A. | |
dc.date.accessioned | 2021-12-23T16:34:09Z | - |
dc.date.available | 2021-12-23T16:34:09Z | - |
dc.date.issued | 2017 | |
dc.identifier.isbn | 9783319288291 | |
dc.identifier.isbn | 9783319288284 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/18022 | - |
dc.description.abstract | The goal of this paper is to present examples of families of homogeneous ideals in the polynomial ring over a field that satisfy the following condition: Every product of ideals of the family has a linear free resolution. As we will see, this condition is strongly correlated to good primary decompositions of the products and good homological and arithmetical properties of the associated multi-Rees algebras. The following families will be discussed in detail: Polymatroidal ideals, ideals generated by linear forms, and Borel-fixed ideals of maximal minors. The main tools are Gröbner bases and Sagbi deformation. © Springer International Publishing Switzerland 2017. | |
dc.language.iso | en | |
dc.publisher | Springer International Publishing | |
dc.relation.ispartof | Singularities and Computer Algebra: Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday | |
dc.subject | Determinantal ideal | |
dc.subject | Gröbner basis | |
dc.subject | Ideal of linear forms | |
dc.subject | Koszul algebra | |
dc.subject | Linear resolution | |
dc.subject | Polymatroidal ideal | |
dc.subject | Primary decomposition | |
dc.subject | Rees algebra | |
dc.subject | Regularity | |
dc.subject | Toric deformation | |
dc.title | Linear resolutions of powers and products | |
dc.type | book part | |
dc.identifier.doi | 10.1007/978-3-319-28829-1_3 | |
dc.identifier.scopus | 2-s2.0-85019986580 | |
dc.identifier.url | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85019986580&doi=10.1007%2f978-3-319-28829-1_3&partnerID=40&md5=6da47f00bde60a0f188ca87e08631cef | |
dc.description.startpage | 47 | |
dc.description.endpage | 69 | |
dcterms.isPartOf.abbreviation | Singul. and Comput. Algebra: Festschr. for Gert-Martin Greuel on the Occas. of his 70th Birthd. | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | BrWi827 | - |