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On the Singular Sheaves in the Fine Simpson Moduli Spaces of 1-dimensional Sheaves
Published online by Cambridge University Press: 20 November 2018
Abstract
In the Simpson moduli space $M$ of semi-stable sheaves with Hilbert polynomial
$dm\,\text{-}\,\text{1}$ on a projective plane we study the closed subvariety
${{M}^{'}}$ of sheaves that are not locally free on their support. We show that for
$d\ge 4$, it is a singular subvariety of codimension 2 in
$M$. The blow up of
$M$ along
${{M}^{'}}$ is interpreted as a (partial) modification of
$M\backslash {{M}^{'}}$ by line bundles (on support).
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- Research Article
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- Copyright © Canadian Mathematical Society 2017
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