On π-Surfaces of Four-Dimensional Parallelohedra

被引：0

作者：

Garber, Alexey ^{[1
]}

机构：

[1] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, 1 West Univ Blvd, Brownsville, TX 78520 USA

来源：

ANNALS OF COMBINATORICS | 2017年 / 21卷 / 04期

关键词：

parallelohedron; Voronoi's conjecture; pi-surface; CONJECTURE;

D O I：

10.1007/s00026-017-0366-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every four-dimensional parallelohedron P satisfies a recently found condition of Garber, Gavrilyuk & Magazinov sufficient for the Voronoi conjecture being true for P. Namely, we show that for every four-dimensional parallelohedron P the one-dimensional homology group of its -surface is generated by half-belt cycles.

引用

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页码：551 / 572

页数：22

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