A characterization of ordinary abelian varieties by the Frobenius push-forward of the structure sheaf II

Sho Ejiri, Akiyoshi Sannai

In this paper, we prove that a smooth projective variety $X$ of characteristic $p>0$ is an ordinary abelian variety if and only if $K_X$ is pseudo-effective and $F_{\ast }^e{\mathcal{O}}_X$…