The Poincaré line bundle and autoduality of Hitchin fibers

DOI10.1007/s00029-022-00763-5zbMath1484.14024arXiv2005.01396OpenAlexW4214773720MaRDI QIDQ832416

Mao Li

Publication date: 25 March 2022

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01396

zbMATH Keywords

Abel-Jacobi mapHiggs bundlequasi-coherent sheafcameral coverclassical limit of geometric LanglandsFourier-Moukai transformHitchin baseKostant sectionPoincare line bundleregular centralizer groups' schemeregular Higgs fieldstack of torsors

Mathematics Subject Classification ID

Stacks and moduli problems (14D23) Geometric Langlands program (algebro-geometric aspects) (14D24) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Langlands duality for Hitchin systems
• Kernel algebras and generalized Fourier-Mukai transforms
• Stable bundles and integrable systems
• The fundamental lemma for Lie algebras
• The gerbe of Higgs bundles.
• Cohomology of line bundles on compactified Jacobians
• Singular support of coherent sheaves and the geometric Langlands conjecture
• Autoduality of compactified Jacobians for curves with plane singularities
• Geometric Langlands in prime characteristic