Quotient Spaces Modulo Algebraic Groups

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.

AMSTeX with AMSppt

Cited by in corpus (3)

• Submersions and effective descent of etale morphisms
• Log canonical singularities and complete moduli of stable pairs
• Combinatorics and Quotients of Toric Varieties