Nonrational polytopes and compactifications of quasitori
نویسنده
چکیده
Nonrational nonsimple convex polytopes can be considered in quasilattices. We prove that the corresponding complex quasitori can be compactified by suitably adding smaller dimensional orbits. The final objects, constructed as complex quotients, are spaces stratified by complex quasifolds that perfectly mimic the features of toric varieties associated to rational convex polytopes. 2000 Mathematics Subject Classification. Primary: 14M25. Secondary: 32S60, 53D20.
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تاریخ انتشار 2008