2026-04-14T05:48:36Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/965932025-12-05T09:57:12Zcom_2072_1057col_2072_478917col_2072_478920
Families of determinantal schemes
Kleppe, J.O.
Miró-Roig, Rosa M. (Rosa Maria)
Àlgebra
Esquemes (Geometria algebraica)
Algebra
Schemes (Algebraic geometry)
Given integers $ a_0\le a_1\le \cdots \le a_{t+c-2}$ and $ b_1\le \cdots \le b_t$, we denote by $ W(\underline{b};\underline{a})\subset \textrm{Hilb}^p(\mathbb{P}^{n})$ the locus of good determinantal schemes $ X\subset \mathbb{P}^{n}$ of codimension $ c$ defined by the maximal minors of a $ t\times (t+c-1)$ homogeneous matrix with entries homogeneous polynomials of degree $ a_j-b_i$. The goal of this paper is to extend and complete the results given by the authors in an earlier paper and determine under weakened numerical assumptions the dimension of $ W(\underline{b};\underline{a})$ as well as whether the closure of $ W(\underline{b};\underline{a})$ is a generically smooth irreducible component of $ \textrm{Hilb}^p(\mathbb{P}^{n})$.
2016-03-17T16:32:15Z
2016-03-17T16:32:15Z
2011
2016-03-17T16:32:20Z
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
0002-9939
https://hdl.handle.net/2445/96593
589162
eng
Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-2011-10802-5
Proceedings of the American Mathematical Society, 2011, vol. 139, p. 3831-3843
http://dx.doi.org/10.1090/S0002-9939-2011-10802-5
(c) American Mathematical Society (AMS), 2011
info:eu-repo/semantics/openAccess
13 p.
application/pdf
American Mathematical Society (AMS)
Articles publicats en revistes (Matemàtiques i Informàtica)