Rationality for generic toric rings
Rationality for generic toric rings
复制标题
通用复曲面环的合理性
DOI：
10.1007/pl00004794
复制
发表时间：
2000
影响因子：
0.8
通讯作者：
V. Welker
中科院分区：
文献类型：
--
作者：
Vesselin Gasharov;I. Peeva;V. Welker
我们研究一般环。证明了它们是金环，因此残场的poincarcarve级数是有理的。当这样的环是Koszul时，我们进行分类，并计算其速率。还描述了与相对于反向字典顺序的环形理想的初始理想有关的解析。
We study generic toric rings. We prove that they are Golod rings, so the Poincaré series of the residue field is rational. We classify when such a ring is Koszul, and compute its rate. Also resolutions related to the initial ideal of the toric ideal with respect to reverse lexicographic order are described.