1. BIRATIONAL EQUIVALENCE OF HIGGS MODULI.
- Author
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MEHTA, MRIDUL
- Subjects
- *
RIEMANN surfaces , *MATHEMATICAL functions , *FUCHSIAN groups , *DIFFERENTIAL equations , *MATHEMATICAL analysis , *MATHEMATICS , *SET theory - Abstract
In this paper, we study triples of the form (E, θ, ϕ) over a compact Riemann surface, where (E, θ) is a Higgs bundle and ϕ is a global holomorphic section of the Higgs bundle. Our main result is an description of a birational equivalence which relates geometrically the moduli space of Higgs bundles of rank r and degree d to the moduli space of Higgs bundles of rank r-1 and degree d. [ABSTRACT FROM AUTHOR]
- Published
- 2005
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