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HIGGS BUNDLES OVER ELLIPTIC CURVES FOR COMPLEX REDUCTIVE GROUPS

Part of: Families, fibrations Curves

Published online by Cambridge University Press:  16 July 2018

EMILIO FRANCO Open the ORCID record for EMILIO FRANCO [Opens in a new window] ,
OSCAR GARCIA-PRADA  and
P. E. NEWSTEAD
EMILIO FRANCO
Affiliation:
CMUP (Centro de Matemática da Universidade do Porto), Universidade do Porto, Rua do Campo Alegre 1021/1055, 4169-007 Porto, Portugal e-mail: emilio.franco@fc.up.pt
OSCAR GARCIA-PRADA
Affiliation:
ICMAT (Instituto de Ciencias Matemáticas), CSIC-UAM-UC3M-UCM, Calle Nicolás Cabrera 15, 28049 Madrid, Spain e-mail: oscar.garcia-prada@icmat.es
P. E. NEWSTEAD
Affiliation:
Department of Mathematical Sciences, University of Liverpool, Peach Street, Liverpool L69 7ZL, United Kingdom e-mail: newstead@liverpool.ac.uk
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Abstract

We study Higgs bundles over an elliptic curve with complex reductive structure group, describing the (normalisation of) its moduli spaces and the associated Hitchin fibration. The case of trivial degree is covered by the work of Thaddeus in 2001. Our arguments are different from those of Thaddeus and cover arbitrary degree.

MSC classification

Primary: 14H60: Vector bundles on curves and their moduli
Secondary: 14D20: Algebraic moduli problems, moduli of vector bundles 14H52: Elliptic curves
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 61 , Issue 2 , May 2019 , pp. 297 - 320
Copyright
Copyright © Glasgow Mathematical Journal Trust 2018 

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