Complex quotients by nonclosed groups and their stratifications

Details Complex quotients by nonclosed groups and their stratifications Complex quotients by nonclosed groups and their stratifications

2007-04-20

arxiv.org/abs/0704.2727v2

C. R. Math. Rep. Acad. Sci. Canada Vol. 29 (2) 2007, pp 33-40

Mathematics

Algebraic Geometry

Research announcement. Updated version, shortened, exposition improved, 8 pp

Scientific paper

We define the notion of complex stratification by quasifolds and show that
such spaces occur as complex quotients by certain nonclosed subgroups of tori
associated to convex polytopes. The spaces thus obtained provide a natural
generalization to the nonrational case of the notion of toric variety
associated with a rational convex polytope.

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