Tensor product theorem for Hitchin pairs -An algebraic approach

Details Tensor product theorem for Hitchin pairs -An algebraic approach Tensor product theorem for Hitchin pairs -An algebraic approach

2010-10-08

arxiv.org/abs/1010.1731v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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