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This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. With its extensive discussion of preliminaries and applications, this book is an ideal resource for graduate students of algebraic geometry and researchers of motivic integration.
Presentingthe first systematic treatment of the behavior of Neron models under ramifiedbase change, this book can be read as an introduction to various subtleinvariants and constructions related to Neron models of semi-abelian varieties,motivated by concrete research problems and complemented with explicitexamples.
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