Frobenius morphism and semi-stable bundles
Xiaotao Sun
TL;DR
This paper surveys how semi-stable bundles behave under Frobenius pullback and direct images in algebraic geometry, including some new results on their properties.
Contribution
It provides a comprehensive overview of the behavior of semi-stable bundles under Frobenius morphisms, with some novel findings included.
Findings
Semi-stable bundles exhibit specific behaviors under Frobenius pullback.
New results on the direct images of semi-stable bundles under Frobenius.
Insights into the stability properties preserved or altered by Frobenius morphisms.
Abstract
This 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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology