We associate a geometric space to an arbitrary convex polytope. The spaces that we obtain are endowed with a natural stratification and perfectly mimic the features of toric varieties associated to rational convex polytopes. Our construction generalizes the classic constructions of Cox and Delzant of toric varieties.
Geometric spaces from arbitrary convex polytopes / F. Battaglia. - In: INTERNATIONAL JOURNAL OF MATHEMATICS. - ISSN 0129-167X. - STAMPA. - Volume: 23, Issue: 1:(2012), pp. article ID: 1250013-0. [10.1142/S0129167X11007562]
Geometric spaces from arbitrary convex polytopes
BATTAGLIA, FIAMMETTA
2012
Abstract
We associate a geometric space to an arbitrary convex polytope. The spaces that we obtain are endowed with a natural stratification and perfectly mimic the features of toric varieties associated to rational convex polytopes. Our construction generalizes the classic constructions of Cox and Delzant of toric varieties.
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