Article ID Journal Published Year Pages File Type
6415837 Journal of Pure and Applied Algebra 2016 12 Pages PDF
Abstract

In this paper, Gotzmann's Regularity Theorem is established for globally generated coherent sheaves on projective space. This is used to extend Gotzmann's explicit construction to the Quot scheme. The Gotzmann representation is applied to bound the second Chern class of a rank 2 globally generated coherent sheaf in terms of the first Chern class.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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