Parabolic bundles in positive characteristic

TL;DR

This paper introduces algebraic parabolic bundles on smooth projective curves over fields of positive characteristic, establishing their equivalence to orbifold bundles and defining key operations.

Contribution

It defines algebraic parabolic bundles in positive characteristic and proves their categorical equivalence to orbifold bundles, expanding the theoretical framework.

Findings

Category of algebraic parabolic bundles is equivalent to orbifold bundles

Tensor, dual, pullback, and pushforward operations are defined for these bundles

Framework extends understanding of 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.