Deformations of morphisms of sheaves
Algebraic Geometry
2025-03-05 v2
Abstract
We analyse infinitesimal deformations of morphisms of locally free sheaves on a smooth projective variety over an algebraically closed field of characteristic zero. In particular, we describe a differential graded Lie algebra controlling the deformation problem. As an application, we study infinitesimal deformations of pairs given by a locally free sheaf and a subspace of it sections with a view towards Brill-Noether theory.
Keywords
Cite
@article{arxiv.2312.09677,
title = {Deformations of morphisms of sheaves},
author = {Donatella Iacono and Elena Martinengo},
journal= {arXiv preprint arXiv:2312.09677},
year = {2025}
}
Comments
22 pages, revised version according to referee's comments, accepted for publication in Canadian Journal of Mathematics