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arXiv · 1607.01319

A global description of the fine Simpson moduli space of 1-dimensional sheaves supported on plane quartics

Oleksandr Iena
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Abstract

A global description of the fine Simpson moduli spaces of $1$-dimensional sheaves supported on plane quartics is given: we describe the gluing of the Brill-Noether loci described by Dr\'ezet and Maican and show that the Simpson moduli space $M=M_{4m\pm 1}(\mathbb P_2)$ is a blow-down of a blow-up of a projective bundle over a smooth moduli space of Kronecker modules. An easy computation of the Poincar\'e polynomial of $M$ is presented.

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Oleksandr Iena. 2016-07-05. A global description of the fine Simpson moduli space of 1-dimensional sheaves supported on plane quartics. https://arxiv.org/abs/1607.01319

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