Showing papers on "Toric variety published in 1990"
TL;DR: It is proved that the combinatorial types of those cone systems which correspond to complete smooth toric varieties are more restricted than for complete toric categories, and that the torics corresponding to essentially all types of cyclic polytopes possess singularities.
Abstract: We prove that the combinatorial types of those cone systems which correspond to complete smooth toric varieties are more restricted than for complete toric varieties: the toric varieties corresponding to essentially all types of cyclic polytopes possess singularities. This yields a negative answer to a problem stated by G. Ewald. Some consequences and problems concerning mathematical programming and the rational cohomology of smooth toric varieties are discussed.
12 citations
12 citations
01 Jan 1990
5 citations
3 citations