Complex quotients by nonclosed groups and their stratifications
نویسنده
چکیده
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. To each convex polytope, rational or not, there corresponds a whole family of these spaces, which provide a natural generalization of the notion of toric variety associated to a rational convex polytope. 2000 Mathematics Subject Classification. Primary: 14M25. Secondary: 53D20, 32S99, 32C15.
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