Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/96593
 Title: Families of determinantal schemes Author: Kleppe, J.O.Miró-Roig, Rosa M. (Rosa Maria) Keywords: ÀlgebraEsquemes (Geometria algebraica)AlgebraSchemes (Algebraic geometry) Issue Date: 2011 Publisher: American Mathematical Society (AMS) Abstract: 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 $\textrm{Hilb}^p(\mathbb{P}^{n})$. Note: Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-2011-10802-5 It is part of: Proceedings of the American Mathematical Society, 2011, vol. 139, p. 3831-3843 Related resource: http://dx.doi.org/10.1090/S0002-9939-2011-10802-5 URI: http://hdl.handle.net/2445/96593 ISSN: 0002-9939 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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