A categorical quotient in the category of dense constructible subsets

Devrim Celik. "A categorical quotient in the category of dense constructible subsets." Colloquium Mathematicae 116.2 (2009): 147-151. <http://eudml.org/doc/284318>.

@article{DevrimCelik2009,
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. Białynicki-Birula.},
author = {Devrim Celik},
journal = {Colloquium Mathematicae},
keywords = {algebraic torus action; categorical quotient; dense constructable subsets},
language = {eng},
number = {2},
pages = {147-151},
title = {A categorical quotient in the category of dense constructible subsets},
url = {http://eudml.org/doc/284318},
volume = {116},
year = {2009},
}

TY - JOUR
AU - Devrim Celik
TI - A categorical quotient in the category of dense constructible subsets
JO - Colloquium Mathematicae
PY - 2009
VL - 116
IS - 2
SP - 147
EP - 151
AB - 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. Białynicki-Birula.
LA - eng
KW - algebraic torus action; categorical quotient; dense constructable subsets
UR - http://eudml.org/doc/284318
ER -