Geometric Reductivity--A Quotient Space Approach
Algebraic Geometry
2010-12-03 v1 Commutative Algebra
Abstract
We give another proof that a reductive algebraic group is geometrically reductive. We show that a quotient of the semi-stable locus (by a linear action of a reductive algebraic group on a projective scheme) exists, and from this Haboush's Theorem (Mumford's Conjecture) follows.
Cite
@article{arxiv.1012.0418,
title = {Geometric Reductivity--A Quotient Space Approach},
author = {Pramathanath Sastry and C. S. Seshadri},
journal= {arXiv preprint arXiv:1012.0418},
year = {2010}
}