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

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

2002-04-08

arxiv.org/abs/math/0204092v2

Mathematics

Algebraic Geometry

26 pages, minor simplifications, references updated

Scientific paper

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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