Corpus ID: 119327005

# Hitchin systems for invariant and anti-invariant vector bundles

@article{Zelaci2016HitchinSF,
title={Hitchin systems for invariant and anti-invariant vector bundles},
author={Hacen Zelaci},
journal={arXiv: Algebraic Geometry},
year={2016}
}
• Hacen Zelaci
• Published 2016
• Mathematics
• arXiv: Algebraic Geometry
Given a smooth projective complex curve $X$ with an involution $\sigma$, we study the Hitchin systems for the locus of anti-invariant (resp. invariant) stable vector bundles over $X$ under $\sigma$. Using these integrable systems and the theory of the nilpotent cone, we study the irreducibility of these loci. The anti-invariant locus can be thought of as a generalisation of Prym varieties to higher rank.
5 Citations
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