Stability of rank 2 vector bundles along isomonodromic deformations

DOI10.1007/s00208-008-0316-2zbMath1163.53008OpenAlexW2075130168MaRDI QIDQ1014221

Viktoria Heu

Publication date: 27 April 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-008-0316-2

zbMATH Keywords

Riemann surfaceslogarithmic connectionholomorphic rank 2 vector bundleirreducible meromophic tracefree connection

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Vector bundles on curves and their moduli (14H60) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Linear and affine connections (53B05) Riemann surfaces (30F99)

Related Items (4)

Isomonodromic deformations of logarithmic connections and stability ⋮ Apparent singularities of Fuchsian equations and the Painlevé property for Garnier systems ⋮ Flat Rank Two Vector Bundles on Genus Two Curves ⋮ Unfolding of the unramified irregular singular generalized isomonodromic deformation

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• TRANSVERSELY PROJECTIVE FOLIATIONS ON SURFACES: EXISTENCE OF MINIMAL FORM AND PRESCRIPTION OF MONODROMY
• On Self-Intersection Number of a Section on a Ruled Surface

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