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simple roots

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

Principal co-Higgs bundles on ℙ1
Part of
- Curves
- Families, fibrations
Indranil Biswas, Oscar García-Prada, Jacques Hurtubise, Steven Rayan
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 63 / Issue 2 / May 2020

Published online by Cambridge University Press:

05 March 2020, pp. 512-530
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For complex connected, reductive, affine, algebraic groups G, we give a Lie-theoretic characterization of the semistability of principal G-co-Higgs bundles on the complex projective line ℙ1 in terms of the simple roots of a Borel subgroup of G. We describe a stratification of the moduli space in terms of the Harder–Narasimhan type of the underlying bundle.