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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## Abstract

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 |
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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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