Irregular Bundles on Hopf Surfaces

Edoardo Ballico () and Elizabeth Gasparim ()
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Edoardo Ballico: Department of Mathematics, University of Trento, Via Sommarive 14, 38123 Trento, Italy
Elizabeth Gasparim: Departamento de Matemáticas, University Catolica del Norte, Av. Angamos 0610, Antofagasta 1270398, Chile

Mathematics, 2025, vol. 13, issue 20, 1-18

Abstract: We discuss the complex-analytic subsets of the moduli spaces of rank 2 vector bundles on a classical Hopf surface formed by irregular bundles. We stratify the set of irregular bundles by weight (and irregular profiles). We provide the topological result (vanishing of higher cohomology groups) on the part of the moduli spaces parameterizing regular bundles.

Keywords: Hopf surface; moduli space of vector bundles; stratification (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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