典型文献
The Convex-Set Algebra and Intersection Theory on the Toric Riemann-Zariski Space
文献摘要：
In previous work of the author,a top intersection product of toric b-divisors on a smooth complete toric variety is defined.It is shown that a nef toric b-divisor corresponds to a convex set and that its top inetersection number equals the volume of this convex set.The goal of this article is to extend this result and define an intersection product of sufficiently positive toric b-classes of arbitrary codimension.For this,we extend the polytope algebra of McMullen to the so called convex-set algebra and we show that it embeds in the toric b-Chow group.In this way,the convex-set algebra can be viewed as a ring for an intersection theory for sufficiently positive toric b-classes.As an application,we show that some Hodge type inequalities are satisfied for the convex set algebra.
文献关键词：
中图分类号：
作者姓名：
Ana María BOTERO
作者机构：
Institut Für Mathematik,Universit(a)t Regensburg,Universit(a)tsstr.31,93053 Regensberg,Germany
文献出处：
引用格式：
[1]Ana María BOTERO-.The Convex-Set Algebra and Intersection Theory on the Toric Riemann-Zariski Space)[J].数学学报（英文版）,2022(03):465-486
A类：
Zariski,divisors,divisor,inetersection,codimension,McMullen
B类：
Convex,Set,Algebra,Intersection,Theory,Toric,Riemann,Space,previous,work,author,intersection,product,toric,smooth,complete,variety,defined,It,shown,that,nef,corresponds,convex,set,its,number,equals,volume,this,goal,article,extend,result,sufficiently,positive,classes,arbitrary,For,polytope,algebra,called,embeds,Chow,group,way,can,viewed,ring,theory,application,some,Hodge,type,inequalities,are,satisfied
AB值：
0.454382
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