English

A categorical quotient in the category of dense constructible subsets

Algebraic Geometry 2009-05-26 v1

Abstract

A. A'Campo-Neuen and J. Hausen gave an example of an algebraic torus action on an open subset of the affine four space that admits no quotient in the category of algebraic varieties. We show that this example admits a quotient in the category of dense constructible subsets and thereby answer a question of A. Bialynicki-Birula.

Keywords

Cite

@article{arxiv.0905.4010,
  title  = {A categorical quotient in the category of dense constructible subsets},
  author = {Devrim Celik},
  journal= {arXiv preprint arXiv:0905.4010},
  year   = {2009}
}

Comments

To appear in Colloquium Mathematicum