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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63742We 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.26 pages, minor simplifications, references updatedAlgebraic GeometryA_{infinity}-structures, Brill-Noether loci and the Fourier-Mukai transformtext