On the enumeration of the combinatorial types of primitive parallelohedra in Ed, 2 ≤ d ≤ 6

On the enumeration of the combinatorial types of primitive parallelohedra in Ed, 2 ≤ d ≤ 6
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关于Ed中本原平行六面体组合类型的枚举,2≤d≤6

DOI:
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发表时间:
2013
期刊:
影响因子:
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通讯作者:
P. Engel
P. Engel
中科院分区:
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文献类型:
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作者:
I. Baburin;P. Engel

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在ED,2≤d≤6中,将正定二次型的锥体细分为本原平行四面体的组合型子锥,给出了一种新的算法,并给出了计数的最新结果。
The cone of positive-definite quadratic forms is subdivided into subcones of combinatorial types of primitive parallelohedra in Ed, 2 ≤ d ≤ 6. A new algorithm is described and recent results on the enumeration are given.