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arXiv · 1012.0418

Geometric Reductivity--A Quotient Space Approach

Pramathanath Sastry·C. S. Seshadri
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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.

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Pramathanath Sastry, C. S. Seshadri. 2010-12-02. Geometric Reductivity--A Quotient Space Approach. https://arxiv.org/abs/1012.0418

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