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arXiv · 1606.01843

A note on co-Higgs bundles

Edoardo Ballico·Sukmoon Huh
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Abstract

We show that for any ample line bundle on a smooth complex projective variety with nonnegative Kodaira dimension, the semistability of co-Higgs bundles of implies the semistability of bundles. Then we investigate the criterion for surface $X$ to have $H^0(T_X)=H^0(S^2T_X)=0$, which implies that any co-Higgs structure of rank two is nilpotent.

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Edoardo Ballico, Sukmoon Huh. 2016-06-06. A note on co-Higgs bundles. https://arxiv.org/abs/1606.01843

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