Deformations of morphisms of sheaves
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866916642727919616 |
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| author | Iacono, Donatella Martinengo, Elena |
| author_facet | Iacono, Donatella Martinengo, Elena |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_09677 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Deformations of morphisms of sheaves Iacono, Donatella Martinengo, Elena Algebraic Geometry 14B10, 14B12, 14D15, 13D10 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. |
| title | Deformations of morphisms of sheaves |
| topic | Algebraic Geometry 14B10, 14B12, 14D15, 13D10 |
| url | https://arxiv.org/abs/2312.09677 |