Abstract
Let ℙr be the r-dimensional projective space over a field K and fix a numerical polynomial \( p\left( t \right) = \sum\nolimits_{i = 0}^r {a_i \left( {_i^{t + r} } \right) \in \mathbb{Q}\left[ t \right]} \) with \( a_i \in \mathbb{Z} \) for all i. We consider the contravariant functor
defined by \( \underline {Hilb} _{p\left( t \right)}^r \left( S \right): = \left\{ {flat families} \right. \mathcal{X} \subset \mathbb{P}^r \times S \) of closed subschemes of ℙr parameterized by S with fibers having Hilbert polynomial p(t).
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© 2008 Birkhäuser Verlag AG
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(2008). Unobstructedness and Dimension of Families of Standard Determinantal Ideals. In: Determinantal Ideals. Progress in Mathematics, vol 264. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8535-4_4
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DOI: https://doi.org/10.1007/978-3-7643-8535-4_4
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8534-7
Online ISBN: 978-3-7643-8535-4
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