Non-connected toric Hilbert schemes

被引：0

作者：

Francisco Santos

机构：

[1] Universidad de Cantabria,Departamento de Matemáticas, Estadística y Computación

来源：

Mathematische Annalen | 2005年 / 332卷

关键词：

Hilbert Scheme; Convex Position;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We construct small (50 and 26 points, respectively) point sets in dimension 5 whose graphs of triangulations are not connected. These examples improve our construction in J. Amer. Math. Soc.13:3 (2000), 611–637 not only in size, but also in that the associated toric Hilbert schemes are not connected either, a question left open in that article. Additionally, the point sets can easily be put into convex position, providing examples of 5-dimensional polytopes with non-connected graph of triangulations.

引用

页码：645 / 665

页数：20

共 12 条

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