Explicit description of jumping phenomena on moduli spaces of parabolic connections and Hilbert schemes of points on surfaces

DOI10.1215/21562261-2019-0016zbMath1423.14078arXiv1611.00971OpenAlexW3101555213WikidataQ127469804 ScholiaQ127469804MaRDI QIDQ2272769

Arata Komyo, Masa-Hiko Saito

Publication date: 20 September 2019

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00971

zbMATH Keywords

apparent singularityparabolic Higgs bundleparabolic connection

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Complex-analytic moduli problems (32G13) Algebraic moduli problems, moduli of vector bundles (14D20) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (max. 100)

Normal forms for rank two linear irregular differential equations and moduli spaces ⋮ Geometric models and variation of weights on moduli of parabolic Higgs bundles over the Riemann sphere: a case study ⋮ On the cohomology of the moduli space of parabolic connections

Cites Work

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• Moduli of stable parabolic connections, Riemann-Hilbert correspondence and geometry of Painlevé equation of type VI. I
• Canonical structure and symmetries of the Schlesinger equations
• Moduli of parabolic connections on curves and the Riemann-Hilbert correspondence
• Spectral curves and the generalised theta divisor.
• Moduli of regular singular parabolic connections with given spectral type on smooth projective curves
• Lagrangian Fibrations in Duality on Moduli Spaces of Rank 2 Logarithmic Connections Over the Projective Line

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