A_{infinity}-structures, Brill-Noether loci and the Fourier-Mukai transform
Algebraic Geometry
2007-05-23 v2
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.
Cite
@article{arxiv.math/0204092,
title = {A_{infinity}-structures, Brill-Noether loci and the Fourier-Mukai transform},
author = {Alexander Polishchuk},
journal= {arXiv preprint arXiv:math/0204092},
year = {2007}
}
Comments
26 pages, minor simplifications, references updated