2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226337This article is the expanded version of a talk given at the conference: Algebraic geometry in East Asia 2008, Seoul. In this notes, I intend to give a brief survey of results on the behavior of semi-stable bundles under the Frobenius pullback and direct images. Some results are new.21 pagesAlgebraic GeometryCommutative Algebra14J32Frobenius morphism and semi-stable bundlestext