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A_{infinity}-structures, Brill-Noether loci and the Fourier-Mukai transform

Alexander Polishchuk
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Abstract

We use A_{infinity}-formalism to study variation of cohomology spaces under formal deformations of coherent sheaves on projective varieties. As an application we describe formal neighborhoods of twisted Brill-Noether loci at some points. Another application is a computation of the Fourier-Mukai transform of some natural line bundles on symmetric powers of a curve.

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Alexander Polishchuk. 2002-07-26. A_{infinity}-structures, Brill-Noether loci and the Fourier-Mukai transform. https://arxiv.org/abs/math/0204092

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