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arXiv · 1410.8612

Gotzmann regularity for globally generated coherent sheaves

Roger Dellaca
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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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Roger Dellaca. 2014-10-31. Gotzmann regularity for globally generated coherent sheaves. https://doi.org/10.1016/j.jpaa.2015.09.019

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