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Quotient Spaces Modulo Algebraic Groups

1995/03/16 by Janós Kollár, Kollár, János · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.alg-geom/9503007

Abstract

The paper proves that if a reductive group scheme acts properly on a scheme then the geometric quotient exists as an algebraic space. As a consequence we obtain the existence of the moduli spcace of canonically polarized varieties over Spec Z.

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