dc.contributor.author | Kleppe, Jan Oddvar | |
dc.contributor.author | Miro-Roig, Rosa M. | |
dc.date.accessioned | 2014-12-08T12:50:04Z | |
dc.date.available | 2015-06-18T02:02:45Z | |
dc.date.issued | 2014-06-18 | |
dc.identifier.citation | KLeppe, J.O. & Miro-Roig, R.M. (2014). On the normal sheaf of determinantal varieties. Journal für die Reine und Angewandte Mathem, doi:10.1515/ crelle-2014-0041 | en_US |
dc.identifier.issn | 0075-4102 | |
dc.identifier.other | FRIDAID 1166322 | |
dc.identifier.uri | https://hdl.handle.net/10642/2208 | |
dc.description.abstract | Let X be a standard determinantal scheme X of P^n of codimension c, i.e. a scheme defined by the maximal minors of a tx(t+c-1)homogeneous polynomial matrix A. In this paper, we study the main features of its normal sheaf \shN_X. We prove that under some mild restrictions: (1) there exists a line bundle \shL on X-Sing(X) such that \shN_X \otimes \shL is arithmetically Cohen–Macaulay and, even more, it is Ulrich whenever the entries of A are linear forms, (2) \shN_X is simple (hence, indecomposable) and, finally, (3) \shN_X is \mu-(semi)stable provided the entries of A are linear forms | en_US |
dc.language.iso | eng | en_US |
dc.publisher | De Gruyter | en_US |
dc.relation.ispartofseries | Journal für die Reine und Angewandte Mathematik; | |
dc.subject | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410 | en_US |
dc.subject | Determinantal varieties | en_US |
dc.subject | Determinantal scheme | en_US |
dc.subject | Cohen-Macaulay | en_US |
dc.title | On the normal sheaf of determinantal varieties | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | The final publication is available at www.degruyter.com | en_US |
dc.identifier.doi | http://dx.doi.org/10.1515/crelle-2014-0041 | |