On existence of double coset varieties

• Autorzy: Artem Anisimov
• Języki publikacji: EN

Abstrakty

EN

Let G be a complex affine algebraic group and H,F ⊂ G be closed subgroups. The homogeneous space G/H can be equipped with the structure of a smooth quasiprojective variety. The situation is different for double coset varieties F∖∖G//H. We give examples showing that the variety F∖∖G//H does not necessarily exist. We also address the question of existence of F∖∖G//H in the category of constructible spaces and show that under sufficiently general assumptions F∖∖G//H does exist as a constructible space.

Kategorie tematyczne

• 14R20: Group actions on affine varieties
• 14L30: Group actions on varieties or schemes (quotients)
• 14M17: Homogeneous spaces and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 126
• Numer: 2
• Strony: 177-185

Daty

wydano

2012

Twórcy

autor

Artem Anisimov

• Department of Higher Algebra, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory 1, GSP-1, Moscow 119991, Russia

Identyfikatory

DOI

10.4064/cm126-2-3