Kleppe, J.O.Miró-Roig, Rosa M. (Rosa Maria)2016-03-172016-03-1720110002-9939https://hdl.handle.net/2445/96593Given 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})$.13 p.application/pdfeng(c) American Mathematical Society (AMS), 2011ÀlgebraEsquemes (Geometria algebraica)AlgebraSchemes (Algebraic geometry)Families of determinantal schemesinfo:eu-repo/semantics/article5891622016-03-17info:eu-repo/semantics/openAccess