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BIRATIONAL EQUIVALENCE OF HIGGS MODULI.
- Source :
-
International Journal of Mathematics . Apr2005, Vol. 16 Issue 4, p365-386. 22p. - Publication Year :
- 2005
-
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]
Details
- Language :
- English
- ISSN :
- 0129167X
- Volume :
- 16
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 16669377
- Full Text :
- https://doi.org/10.1142/S0129167X05002916