ON THE EXISTENCE OF CERTAIN SMOOTH TORIC VARIETIES

被引：5

作者：

GRETENKORT, J

KLEINSCHMIDT, P

STURMFELS, B

机构：

[1] UNIV PASSAU,FAK MATH & INFORMAT,W-8390 PASSAU,GERMANY

[2] UNIV MINNESOTA,INST MATH & APPLICAT,MINNEAPOLIS,MN 55455

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 1990年 / 5卷 / 03期

关键词：

D O I：

10.1007/BF02187789

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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. © 1990 Springer-Verlag New York Inc.

引用

页码：255 / 262

页数：8

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