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arXiv · 2507.06882

Moduli spaces of stable bundles on ruled 3-folds and Brill-Noether problems

Laura Costa·Irene Macías Tarrío
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Abstract

In this paper, we redefine the theory of walls and chambers due to Qin developing a new tool to study moduli spaces of stable rank 2 vector bundles on algebraic varieties of higher dimension. We apply it to describe components of some moduli spaces of rank 2 stable bundles on ruled 3-folds as well as to prove that some Brill-Noether loci are non-empty.

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Laura Costa, Irene Macías Tarrío. 2025-07-09. Moduli spaces of stable bundles on ruled 3-folds and Brill-Noether problems. https://arxiv.org/abs/2507.06882

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