A combinatorial construction of sets with good quotients by an action of a reductive group

Joanna Święcicka. "A combinatorial construction of sets with good quotients by an action of a reductive group." Colloquium Mathematicae 87.1 (2001): 85-102. <http://eudml.org/doc/283830>.

@article{JoannaŚwięcicka2001,
abstract = {The aim of this paper is to construct open sets with good quotients by an action of a reductive group starting with a given family of sets with good quotients. In particular, in the case of a smooth projective variety X with Pic(X) = 𝒵, we show that all open sets with good quotients that embed in a toric variety can be obtained from the family of open sets with projective good quotients. Our method applies in particular to the case of Grassmannians.},
author = {Joanna Święcicka},
journal = {Colloquium Mathematicae},
keywords = {group actions; orbit spaces; good quotients},
language = {eng},
number = {1},
pages = {85-102},
title = {A combinatorial construction of sets with good quotients by an action of a reductive group},
url = {http://eudml.org/doc/283830},
volume = {87},
year = {2001},
}

TY - JOUR
AU - Joanna Święcicka
TI - A combinatorial construction of sets with good quotients by an action of a reductive group
JO - Colloquium Mathematicae
PY - 2001
VL - 87
IS - 1
SP - 85
EP - 102
AB - The aim of this paper is to construct open sets with good quotients by an action of a reductive group starting with a given family of sets with good quotients. In particular, in the case of a smooth projective variety X with Pic(X) = 𝒵, we show that all open sets with good quotients that embed in a toric variety can be obtained from the family of open sets with projective good quotients. Our method applies in particular to the case of Grassmannians.
LA - eng
KW - group actions; orbit spaces; good quotients
UR - http://eudml.org/doc/283830
ER -