Bhosle, Usha N. ; Parameswaran, A. J. ; Singh, Sanjay Kumar
(2014)
*Hitchin pairs on an integral curve*
Bulletin des Sciences Mathematiques, 138
(1).
pp. 41-62.
ISSN 0007-4497

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.bulsci.2013.09.009

## Abstract

Let Y be an integral projective scheme of dimension 1 over a field k (of arbitrary characteristic). We construct the moduli spaces of Hitchin pairs on Y. We define a notion of strong semistability for Hitchin pairs on Y. Assume that the base field is infinite and the normalization of Y is smooth. Then we show that finite direct sums of strongly semistable Hitchin pairs on Y form a neutral Tannakian category. We define the holonomy group scheme G^{H}_{Y} of Y to be the Tannakian group scheme for this category. For a strongly semistable G-Hitchin pair, we construct a monodromy group scheme. We study the relation between Higgs bundles on Y and the representations of the (topological) fundamental group of Y in the complex general linear group.

Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |

Keywords: | Hitchin Pairs, Curve; Tannakian Category |

ID Code: | 112229 |

Deposited On: | 23 Jan 2018 12:10 |

Last Modified: | 23 Jan 2018 12:10 |

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