Parabolic bundles in positive characteristic

Abstract

Algebraic parabolic bundles on smooth projective curves over algebraically closed field of positive characteristic is defined. It is shown that the category of algebraic parabolic bundles is equivalent to the category of orbifold bundles defined in \cite{KP}. Tensor, dual, pullback and pushforward operations are also defined for parabolic bundles.

26 pages

Cited by in corpus (3)

• Pullback and direct image of parabolic connections and parabolic Higgs bundles
• Stability of pullback of orbifold bundles
• Higher dimensional formal orbifolds and orbifold bundles in positive characteristic