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 $H^0(T_X) = H^0(S^2 T_X) = 0$, which implies that any co-Higgs structure of rank two is nilpotent.
Citation
Edoardo Ballico. Sukmoon Huh. "A Note on co-Higgs Bundles." Taiwanese J. Math. 21 (2) 267 - 281, 2017. https://doi.org/10.11650/tjm/7834
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