## Taiwanese Journal of Mathematics

### A Note on co-Higgs Bundles

#### 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.

#### Article information

Source
Taiwanese J. Math., Volume 21, Number 2 (2017), 267-281.

Dates
First available in Project Euclid: 29 June 2017

https://projecteuclid.org/euclid.twjm/1498750952

Digital Object Identifier
doi:10.11650/tjm/7834

Mathematical Reviews number (MathSciNet)
MR3632515

Zentralblatt MATH identifier
06871317

#### Citation

Ballico, Edoardo; Huh, Sukmoon. A Note on co-Higgs Bundles. Taiwanese J. Math. 21 (2017), no. 2, 267--281. doi:10.11650/tjm/7834. https://projecteuclid.org/euclid.twjm/1498750952

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