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Automorphisms of moduli spaces of symplectic bundles.

Biswas, Indranil and Gómez , Tomás L. and Muñoz, Vicente (2012) Automorphisms of moduli spaces of symplectic bundles. International Journal Mathematics, 23 (5). p. 1250052. ISSN 0129-167X

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Let X be an irreducible smooth complex projective curve of genus g >= 4. Fix a line bundle L on X. Let M-Sp (L) be the moduli space of semistable symplectic bundles (E,(sic) : E circle times E -> L) on X, with the symplectic form taking values in L. We show that the automorphism group of M-Sp (L) is generated by the automorphisms of the form E bar right arrow E circle times M, where M-2 congruent to O-X, together with the automorphisms induced by automorphisms of X.

Item Type:Article
Uncontrolled Keywords:Moduli space; Symplectic bundle; Automorphism; Higgs bundle; Complex projective curve
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:16944

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Deposited On:31 Oct 2012 09:38
Last Modified:07 Feb 2014 09:38

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