dc.contributor.author | Kleppe, Jan Oddvar | |
dc.contributor.author | Miro-Roig, Rosa Maria | |
dc.date.accessioned | 2010-08-19T08:10:17Z | |
dc.date.available | 2010-08-19T08:10:17Z | |
dc.date.issued | 2009 | |
dc.identifier.citation | Kleppe, J.O. & Miro-Roig, R.M. (2009). Ideals generated by submaximal minors. Algebra & Number Theory, 3 (4), 367-292 | en_US |
dc.identifier.issn | 1937-0652 | |
dc.identifier.other | FRIDAID 359733 | |
dc.identifier.uri | https://hdl.handle.net/10642/385 | |
dc.description.abstract | The goal of this paper is to study irreducible families W(b;a) of codimension 4, arithmetically Gorenstein schemes X of P^n defined by the submaximal minors of a t x t matrix A whose entries are homogeneous forms of degree a_j-b_i. Under some numerical assumption on a_j and b_i we prove that the closure of W(b;a) is an irreducible component of Hilb^p(P^n), we show that Hilb^p(P^n) is generically smooth along W(b;a) and we compute the dimension of W(b;a) in terms of a_j and b_i. To achieve these results we first prove that X is determined by a regular section of the twisted conormal sheaf I_Y/I^2_Y(s) where s=deg(det(A)) and Y is a codimension 2, arithmetically Cohen-Macaulay scheme of P^n defined by the maximal minors of the matrix obtained deleting a suitable row of A. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Mathematical Science Publishers | en_US |
dc.relation.ispartofseries | Algebra & Number Theory;3 (4) | |
dc.subject | Hilbert scheme | en_US |
dc.subject | Gorenstein | en_US |
dc.subject | Algebra | en_US |
dc.subject | Cohen-Macaulay | en_US |
dc.subject | Determinantal schemes | en_US |
dc.subject | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Algebra/algebraisk analyse: 414 | en_US |
dc.title | Ideals generated by submaximal minors | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | Originally published by the Mathematical Science Publishers (http://mathscipub.org/) | |
dc.identifier.doi | http://pjm.math.berkeley.edu/ant/2009/3-4/p01.xhtml | |