类初始理想与纤维积
Generic initial ideals and fibre products
摘要：
研究了纤维乘积的类属初始理想的行为。在我们的主要结果中，我们确定了反字典序的纤维积的一般初始理想。作为应用，我们计算了Kalai所提出的两个不相交的单纯复形的对称代数移位复形。这一结果是对称模拟的一个定理的内沃谁确定了外部代数移位复杂的两个不相交的单纯复形预测卡莱。
英文摘要：
We study the behavior of generic initial ideals with respect to fibre products. In our main result we determine the generic initial ideal of the fibre product with respect to the reverse lexicographic order. As an application we compute the symmetric algebraic shifted complex of two disjoint simplicial complexes as was conjectured by Kalai. This result is the symmetric analogue of a theorem of Nevo who determined the exterior algebraic shifted complex of two disjoint simplicial complexes as predicted by Kalai.
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