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2012 Characteristic classes of proalgebraic varieties and motivic measures
Shoji Yokura
Algebr. Geom. Topol. 12(1): 601-641 (2012). DOI: 10.2140/agt.2012.12.601

Abstract

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.

Citation

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Shoji Yokura. "Characteristic classes of proalgebraic varieties and motivic measures." Algebr. Geom. Topol. 12 (1) 601 - 641, 2012. https://doi.org/10.2140/agt.2012.12.601

Information

Received: 21 April 2010; Revised: 21 November 2011; Accepted: 19 December 2011; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1243.14010
MathSciNet: MR2916288
Digital Object Identifier: 10.2140/agt.2012.12.601

Subjects:
Primary: 14C17, 18F99
Secondary: 14E18, 18A99, 55N35, 55N99

Rights: Copyright © 2012 Mathematical Sciences Publishers

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