Title:
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Families of determinantal schemes
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Author:
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Kleppe, J.O.; Miró-Roig, Rosa M. (Rosa Maria)
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Other authors:
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Universitat de Barcelona |
Abstract:
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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})$. |
Subject(s):
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-Àlgebra -Esquemes (Geometria algebraica) -Algebra -Schemes (Algebraic geometry) |
Rights:
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(c) American Mathematical Society (AMS), 2011
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Document type:
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Article Article - Published version |
Published by:
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American Mathematical Society (AMS)
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