Quotients of toric varieties by the action of a subtorus
Quotients of toric varieties by the action of a subtorus
复制标题
由 subtorus 作用得到的环面变体的商
DOI：
10.2748/tmj/1178224848
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发表时间：
1998
影响因子：
0.5
通讯作者：
J. Hausen
中科院分区：
文献类型：
--
作者：
A. A'Campo;J. Hausen
我们考虑大环面的子环面在环面簇上的作用。本文的目的是在这种情况下定义一个自然的商的概念，并给出一个显式的算法，用于从对应于由次环面和环面簇组成的对的组合数据中构造商。此外，我们还研究了这类商与良商的关系。我们构造了一个好的模型，即从给定的环簇到某个具有良好商的“最大”环簇的显性环射，它是由给定亚环的诱导作用而产生的。
We consider the action of a subtorus of the big torus on a toric variety. The aim of the paper is to define a natural notion of a quotient for this setting and to give an explicit algorithm for the construction of this quotient from the combinatorial data corresponding to the pair consisting of the subtorus and the toric variety. Moreover, we study the relations of such quotients with good quotients. We construct a good model, i.e. a dominant toric morphism from the given toric variety to some ``maximal'' toric variety having a good quotient by the induced action of the given subtorus.