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Generalized parabolic Hitchin pairs
Author(s) -
Bhosle Usha N.
Publication year - 2014
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdt058
Subject(s) - moduli space , mathematics , morphism , jacobian matrix and determinant , pure mathematics , mathematical analysis , moduli , moduli of algebraic curves , physics , quantum mechanics
We define generalized parabolic Hitchin (GPH) pairs on a non‐singular curve X and construct their moduli spaces. When X is the normalization of an integral projective curve Y , we give a birational morphism from the moduli space of good GPH on X to the moduli space of Hitchin pairs on Y . We define a Hitchin map on GPH and show that it is a proper map on the moduli space of GPH and induces a proper Hitchin morphism on a subscheme of the moduli space of Hitchin pairs on Y . We study the relationship between Hitchin pairs and the compactified Jacobian of a spectral curve.