Characteristic classes of proalgebraic varieties and motivic measures

被引：1
|
作者：
Yokura, Shoji [1 ]
机构：
[1] Kagoshima Univ, Dept Math & Comp Sci, Fac Sci, Kagoshima 8900065, Japan
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2012年 / 12卷 / 01期
关键词：
SINGULAR ALGEBRAIC-VARIETIES; CHERN CLASSES; HIRZEBRUCH CLASSES; PRODUCT FORMULA; RIEMANN-ROCH; WITT GROUPS; GENERA;
D O I：
10.2140/agt.2012.12.601
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Gromov initiated what he calls "symbolic algebraic geometry", in which he studied proalgebraic varieties. In this paper we formulate a general theory of characteristic classes of proalgebraic varieties as a natural transformation, which is a natural extension of the well-studied theories of characteristic classes of singular varieties. Fulton-MacPherson bivariant theory is a key tool for our formulation and our approach naturally leads us to the notion of motivic measure and also its generalization.
引用
收藏
页码：601 / 641
页数：41
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