Geometric Reductivity--A Quotient Space Approach

Details Geometric Reductivity--A Quotient Space Approach Geometric Reductivity--A Quotient Space Approach

2010-12-02

arxiv.org/abs/1012.0418v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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