Deformations of morphisms of sheaves
Year: 2025
Type: article
Abstract: We analyze infinitesimal deformations of morphisms of locally free sheaves on a smooth projective variety X 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 the pairs given by a locally free sheaf and a subspace of its sections with a view toward Brill-Noether theory.
Source: Canadian Journal of Mathematics
Authors: Donatella Iacono, Elena Martinengo
Institutions: University of Bari Aldo Moro, University of Turin
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
OpenAlex ID: W4407878938