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Stability of Frobenius direct images over surfaces
Published 25 Jul 2014 in math.AG | (1407.6899v1)
Abstract: Let $X$ be a smooth projective surface over an algebraically closed field $k$ of characteristic $p> 0$ with $\Omega_{X}{1}$ semistable and $\mu(\Omega_{X}{1})>0$. For any semistable (resp. stable) bundle $W$ of rank $r$, we prove that $F_*W$ is semistable (resp. stable) when $p\geq r(r-1)2+1$.
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