Frobenius morphism and semi-stable bundles

2009/04/09 by Sun, Xiaotao
#14J32 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.0904.1560

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.

Related

• Frobenius induced morphisms on moduli of sheaves on curves
• Frobenius pull-back and stability of vector bundles in characteristic 2
• Stability of direct images under Frobenius morphism
• Frobenius inverse image of the semi-stable boundary in the moduli space of vector bundles
• Stable bundles as Frobenius morphism direct image