Irregular Bundles on Hopf Surfaces

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.

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Publication Details

Journal
Mathematics
Published
2025-10-21
DOI
https://doi.org/10.3390/math13203356
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Irregular Bundles on Hopf Surfaces

Edoardo Ballico, Elizabeth Gasparim
Mathematics
Geometric and Algebraic Topology
article

Irregular Bundles on Hopf Surfaces

Edoardo Ballico, Elizabeth Gasparim
article en

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.

MathematicsVol. 13(20)
University of Trento (IT), Universidad Católica del Norte (CL)
Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni
Openalex Percentile: Top 64%
Geometric and Algebraic Topology
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