Geodesic
A combinatorial construction of sets with good quotients by an action of a reductive group
Joanna Święcicka 1
1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland
Colloquium Mathematicum, Tome 87 (2001) no. 1, pp. 85-102 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\mathop {\rm Pic}\nolimits (X)= {\cal Z}$, 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.
DOI : 10.4064/cm87-1-5
Keywords: paper construct sets quotients action reductive group starting given family sets quotients particular smooth projective variety mathop pic nolimits cal sets quotients embed toric variety obtained family sets projective quotients method applies particular grassmannians

Joanna Święcicka  1

1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland 
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Joanna Święcicka. A combinatorial construction of sets
with good quotients by an action of a
reductive group. Colloquium Mathematicum, Tome 87 (2001) no. 1, pp. 85-102. doi: 10.4064/cm87-1-5

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