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arXiv · 2501.05344

Higher rank prioritary bundles on ruled surfaces and their global sections

L. Costa·I. Macías Tarrío
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Abstract

Let $X$ be a ruled surface over a nonsingular curve $C$ of genus $g\geq0$. 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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L. Costa, I. Macías Tarrío. 2025-01-09. Higher rank prioritary bundles on ruled surfaces and their global sections. https://arxiv.org/abs/2501.05344

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