A categorical quotient in the category of dense constructible subsets

Details A categorical quotient in the category of dense constructible subsets A categorical quotient in the category of dense constructible subsets

2009-05-25

arxiv.org/abs/0905.4010v1

Mathematics

Algebraic Geometry

To appear in Colloquium Mathematicum

Scientific paper

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.

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