Canonical filtrations and stability of direct images by Frobenius morphisms
Canonical filtrations and stability of direct images by Frobenius morphisms
We study the stability of direct images by Frobenius morphisms. First, we compute the first Chern classes of direct images of vector bundles by Frobenius morphisms modulo rational equivalence up to torsions. Next, introducing the canonical filtrations, we prove that if $X$ is a nonsingular projective minimal surface of general …