Quotient Spaces Modulo Algebraic Groups
classification
alg-geom
math.AG
keywords
algebraicquotientschemeactscanonicallyconsequenceexistenceexists
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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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