AUTOMORPHISMS OF MODULI SPACES OF SYMPLECTIC BUNDLES-Reference-Cited by-同舟云学术

AUTOMORPHISMS OF MODULI SPACES OF SYMPLECTIC BUNDLES

Published:2012-05 Issue:05 Volume:23 Page:1250052
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

BISWAS INDRANIL¹,GÓMEZ TOMAS L.²,MUÑOZ VICENTE³

Affiliation:

1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India

2. Instituto de Ciencias Matemáticas, (CSIC-UAM-UC3M-UCM), C/Nicolás Cabrera 13-15, Campus Cantoblanco, 28049 Madrid, Spain

3. Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Plaza Ciencias 3, 28040 Madrid, Spain

Abstract

Let X be an irreducible smooth complex projective curve of genus g ≥ 4. Fix a line bundle L on X. Let MSp(L) be the moduli space of semistable symplectic bundles (E, φ : E ⊗ E → L) on X, with the symplectic form taking values in L. We show that the automorphism group of MSp(L) is generated by the automorphisms of the form E ↦ E ⊗ M, where [Formula: see text], together with the automorphisms induced by automorphisms of X.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X12500528

Reference10 articles.

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2. HECKE CORRESPONDENCE FOR SYMPLECTIC BUNDLES WITH APPLICATION TO THE PICARD BUNDLES

3. Nilpotent subspaces of maximal dimension in semi-simple Lie algebras

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