Tensor product theorem for Hitchin pairs -An algebraic approach

V. Balaji; A. J. Parameswaran

Tensor product theorem for Hitchin pairs -An algebraic approach

Algebraic Geometry 2010-10-11 v1 Representation Theory

Authors: V. Balaji , A. J. Parameswaran

Abstract

We give an algebraic approach to the study of Hitchin pairs and prove the tensor product theorem for Higgs semistable Hitchin pairs over smooth projective curves defined over algebraically closed fields $k$ of characteristic $0$ and characteristic $p$ , with $p$ satisfying some natural bounds. We also prove the corresponding theorem for polystable bundles.

Keywords

tensor product higgs bundle vector bundles

Cite

@article{arxiv.1010.1731,
  title  = {Tensor product theorem for Hitchin pairs -An algebraic approach},
  author = {V. Balaji and A. J. Parameswaran},
  journal= {arXiv preprint arXiv:1010.1731},
  year   = {2010}
}

Comments

To appear in Annales de l'Institut Fourier, Volume 61 (2011)

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