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

• Autorzy: Joanna Święcicka
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 14L24: Geometric invariant theory
• 14L30: Group actions on varieties or schemes (quotients)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 87
• Numer: 1
• Strony: 85-102

Daty

wydano

2001

Twórcy

autor

Joanna Święcicka

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/cm87-1-5