BIRATIONAL EQUIVALENCE OF HIGGS MODULI
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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.
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2004 ◽
Vol 15
(09)
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pp. 907-917
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2018 ◽
Vol 15
(05)
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pp. 1850081
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2011 ◽
Vol 151
(3)
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pp. 441-457
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1999 ◽
Vol 66
(1)
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pp. 32-50
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2004 ◽
Vol 140
(02)
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pp. 423-434
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