FIBERED TORIC VARIETIES

被引：0
|
作者：
Khovanskii, Askold [1 ,2 ]
Monin, Leonid [3 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON, Canada
[2] Moscow Independent Univ, Moscow, Russia
[3] Ecole Polytech Fed Lausanne, Inst Math, Lausanne, Switzerland
来源：
MOSCOW MATHEMATICAL JOURNAL | 2023年 / 23卷 / 04期
关键词：
Toric varieties; toric variety bundles; Newton polyhedra; POLYTOPES;
D O I：
10.17323/1609-4514-2023-23-4-545-558
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A toric variety is called fibered if it can be represented as a total space of fibre bundle over toric base and with toric fiber. Fibered toric varieties form a special case of toric variety bundles. In this note we first give an introduction to the class of fibered toric varieties. Then we use them to illustrate some known and conjectural results on topol-ogy and intersection theory of general toric variety bundles. Finally, using the language of fibered toric varieties, we compute the equivariant cohomology rings of smooth complete toric varieties.
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页码：545 / 558
页数：14
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