Higher rank prioritary bundles on ruled surfaces and their global sections

2025/01/09 by Costa, L., Tarrío, I. Macías
#14J26 #14J60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2501.05344

Abstract

Let X be a ruled surface over a nonsingular curve C of genus g≥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.

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