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On existence of double coset varieties

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Anisimov A.

Colloquium Mathematicum

2012

tom 126

nr 2

177-185

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.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Anisimov A.

1 2012

Wyniki wyszukiwania

On existence of double coset varieties