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.
Deformations of morphisms of sheaves
Donatella Iacono;Elena Martinengo
2025-01-01
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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
deformations-of-morphisms-of-sheaves.pdf
Accesso aperto
Tipo di file:
PDF EDITORIALE
Dimensione
476.5 kB
Formato
Adobe PDF
|
476.5 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
