When do the Recession Cones of a Polyhedral Complex Form a Fan?
When do the Recession Cones of a Polyhedral Complex Form a Fan?
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多面体复合体的退锥何时形成扇形？
DOI：
10.1007/s00454-010-9318-4
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发表时间：
2010
影响因子：
0.8
通讯作者：
M. Sombra
中科院分区：
文献类型：
--
作者：
J. B. Gil;M. Sombra
我们研究的问题时，一个多面体复杂的衰退锥的集合也形成一个复杂的。我们展示了一个例子表明，这并不总是如此。我们还表明，如果给定的多面体复形的支持满足Minkowski-Weyl型条件，那么答案是肯定的。作为结果，我们得到了一个分类定理的适当toric格式在离散赋值环上的完全强凸有理多面体复形。
We study the problem of when the collection of the recession cones of a polyhedral complex also forms a complex. We exhibit an example showing that this is no always the case. We also show that if the support of the given polyhedral complex satisfies a Minkowski–Weyl-type condition, then the answer is positive. As a consequence, we obtain a classification theorem for proper toric schemes over a discrete valuation ring in terms of complete strongly convex rational polyhedral complexes.