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arXiv · 2004.02280

Biliaison of sheaves

Mengyuan Zhang
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Abstract

We define an equivalence relation among coherent sheaves on a projective variety called biliaison. We prove the existence of sheaves that are minimal in a biliaison class in a suitable sense, and show that all sheaves in the same class can be obtained from a minimal one using certain deformations and other basic moves. Our results generalize the main theorems of liaison theory of subvarieties to sheaves, and provide a framework to study sheaves and subvarieties simultaneously.

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Mengyuan Zhang. 2020-04-05. Biliaison of sheaves. https://arxiv.org/abs/2004.02280

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