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arXiv · 1407.4183

$S_n$-Equivariant Sheaves and Kozsul Cohomology

David H Yang
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Abstract

We give a new interpretation of Kozsul cohomology, which is equivalent under the Bridgeland-King-Reid equivalence to Voisin's Hilbert scheme interpretation in dimensions 1 and 2, but is different in higher dimensions. As an application, we prove that the dimension $K_{p,q}(B,L)$ is a polynomial in $d$ for $L=dA+P$ with $A$ ample and $d$ large enough.

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David H Yang. 2014-07-16. $S_n$-Equivariant Sheaves and Kozsul Cohomology. https://arxiv.org/abs/1407.4183

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