Bhosle, Usha N. (2014) Generalized parabolic Hitchin pairs Journal of the London Mathematical Society, 89 (1). pp. 1-23. ISSN 0024-6107
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Official URL: http://onlinelibrary.wiley.com/doi/10.1112/jlms/jd...
Related URL: http://dx.doi.org/10.1112/jlms/jdt058
Abstract
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Oxford University Press. |
| ID Code: | 112225 |
| Deposited On: | 23 Jan 2018 12:10 |
| Last Modified: | 23 Jan 2018 12:10 |
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