Rationality of the instability parabolic and related results
Algebraic Geometry
2011-11-14 v1
Abstract
In this paper we study the extension of structure group of principal bundles with a reductive algebraic group as structure group on smooth projective varieties defined over algebraically closed field of positive characteristic. Our main result is to show that given a representation {\rho} of a reductive algebraic group G, there exists an integer t such that any semistable G-bundle whose first t frobenius pullbacks are semistable induces a semistable vector bundle on extension of structure group via {\rho}. Moreover we quantify the number of such frobenius pullbacks required.
Keywords
Cite
@article{arxiv.1111.2799,
title = {Rationality of the instability parabolic and related results},
author = {Sudarshan Gurjar and Vikram Mehta},
journal= {arXiv preprint arXiv:1111.2799},
year = {2011}
}