Discriminant and Hodge classes on the space of Hitchin covers

DOI10.1007/s11005-020-01303-yzbMath1455.14010arXiv1904.00489OpenAlexW3102497950MaRDI QIDQ2224487

Mikhail Basok

Publication date: 3 February 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00489

zbMATH Keywords

moduli spacesPicard groupdiscriminant locusHitchin covers

Mathematics Subject Classification ID

Relationships between algebraic curves and integrable systems (14H70) Divisors, linear systems, invertible sheaves (14C20) Picard groups (14C22)

Cites Work

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• The Picard groups of the moduli spaces of curves
• Stable bundles and integrable systems
• Determinants of Cauchy-Riemann operators as \(\tau\)-functions
• Integrable systems and quantum groups. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo (CIME) held in Montecatini Terme, Italy, June 14-22, 1993
• Tau functions, Prym-Tyurin classes and loci of degenerate differentials
• Tau-functions on spaces of Abelian differentials and higher genus generalizations of Ray-Singer formula
• Tau function and moduli of differentials
• The Self-Duality Equations on a Riemann Surface
• Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers
• Spectral Covers
• Tau function and the Prym class

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