A categorical quotient in the category of
 dense constructible subsets

Devrim Celik

doi:10.4064/cm116-2-1

Geodesic

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A categorical quotient in the category of dense constructible subsets

Devrim Celik ¹

¹ Mathematisches Institut Universität Tübingen Auf der Morgenstelle 10 72076 Tübingen, Germany

Colloquium Mathematicum, Tome 116 (2009) no. 2, pp. 147-151.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Résumé

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. Bia/lynicki-Birula.

DOI : 10.4064/cm116-2-1

Keywords: acampo neuen hausen gave example algebraic torus action subset affine space admits quotient category algebraic varieties example admits quotient category dense constructible subsets thereby answer question bia lynicki birula

Affiliations des auteurs :

Devrim Celik ¹

¹ Mathematisches Institut Universität Tübingen Auf der Morgenstelle 10 72076 Tübingen, Germany

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Devrim Celik. A categorical quotient in the category of
 dense constructible subsets. Colloquium Mathematicum, Tome 116 (2009) no. 2, pp. 147-151. doi : 10.4064/cm116-2-1. http://geodesic.mathdoc.fr/articles/10.4064/cm116-2-1/

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