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

Tom 87 / 2001

Joanna Święcicka Colloquium Mathematicum 87 (2001), 85-102 MSC: Primary 14L24, 14L30. DOI: 10.4064/cm87-1-5

Streszczenie

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 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.

Autorzy

  • Joanna ŚwięcickaInstitute of Mathematics
    Warsaw University
    Banacha 2
    02-097 Warszawa, Poland
    e-mail

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