2000 character limit reached
Betti numbers of the geometric spaces associated to nonrational simple convex polytopes
Published 27 Apr 2010 in math.AG and math.CO | (1004.4763v1)
Abstract: We compute the Betti numbers of the geometric spaces associated to nonrational simple convex polytopes and find that they depend on the combinatorial type of the polytope exactly as in the rational case. This shows that the combinatorial features of the starting polytope are encoded in these generalized toric spaces as they are in their rational counterparts.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.