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arXiv · 2312.09677

Deformations of morphisms of sheaves

Donatella Iacono·Elena Martinengo
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Abstract

We analyse 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 pairs given by a locally free sheaf and a subspace of it sections with a view towards Brill-Noether theory.

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Donatella Iacono, Elena Martinengo. 2023-12-15. Deformations of morphisms of sheaves. https://doi.org/10.4153/s0008414x25000148

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