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Quotient Spaces Modulo Algebraic Groups

alg-geom 2008-02-03 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.alg-geom/9503007,
  title  = {Quotient Spaces Modulo Algebraic Groups},
  author = {János Kollár},
  journal= {arXiv preprint arXiv:alg-geom/9503007},
  year   = {2008}
}

Comments

AMSTeX with AMSppt