Variations of Hodge Structures for Hypergeometric Differential Operators and Parabolic Higgs Bundles

DOI10.1093/imrn/rnx044zbMath1408.32017arXiv1505.01704OpenAlexW1606936429MaRDI QIDQ4619442

Roman M. Fedorov

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01704

zbMATH Keywords

holomorphic vector bundleconnectionHodge structure

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Holomorphic bundles and generalizations (32L05) Riemann surfaces (30F99)

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Hyperelliptic integrals and mirrors of the Johnson–Kollár del Pezzo surfaces ⋮ Rigid local systems and the multiplicative eigenvalue problem ⋮ Global properties of some weight 3 variations of Hodge structure ⋮ A FUNCTIONAL LOGARITHMIC FORMULA FOR THE HYPERGEOMETRIC FUNCTION ⋮ Lower bounds for Lyapunov exponents of flat bundles on curves ⋮ Algebraic aspects of hypergeometric differential equations ⋮ Examples of Hypergeometric twistor \(\mathcal{D}\)-modules ⋮ IRREGULAR HODGE FILTRATION OF SOME CONFLUENT HYPERGEOMETRIC SYSTEMS ⋮ Behaviour of some Hodge invariants by middle convolution

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