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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
