Higher rank prioritary bundles on ruled surfaces and their global sections

Let $X$ be a ruled surface over a nonsingular curve $C$ of genus $g \geq 0$. The main goal of this paper is to construct simple prioritary vector bundles of any rank $r$ on $X$ and to give effective bounds for the dimension of their module of global sections.

Detalles Bibliográficos
Autores: Costa Farràs, Laura, Macías Tarrío, Irene
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/227201
Acceso en línea:https://hdl.handle.net/2445/227201
Access Level:acceso abierto
Palabra clave:Superfícies algebraiques
Varietats algebraiques
Algebraic surfaces
Algebraic varieties
Descripción
Sumario:Let $X$ be a ruled surface over a nonsingular curve $C$ of genus $g \geq 0$. The main goal of this paper is to construct simple prioritary vector bundles of any rank $r$ on $X$ and to give effective bounds for the dimension of their module of global sections.