纤维环变种

Pub Date : 2023-11-03 DOI:10.17323/1609-4514-2023-23-4-545-558

Askold Khovanskii, Leonid Monin

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引用次数: 0

摘要

如果一个环状变种可以表示为环状基上的纤维束总空间，并且具有环状纤维，那么这个环状变种就叫做纤维环状变种。有纤维的环状变分是环状变分束的一种特例。在本论文中，我们首先介绍了纤维环状变种。然后，我们用它们来说明关于一般环综束的拓扑学和交集理论的一些已知和猜想结果。最后，我们用纤维环综的语言计算光滑完整环综的等变同调环。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fibered Toric Varieties

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 topology 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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