Téléchargez le livre : Motivic Integration
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Description

This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is presented in the context of formal schemes over a discrete valuation ring, without any restriction on the residue characteristic. The text first discusses the main features of the Grothendieck ring of varieties, arc schemes, and Greenberg schemes. It then moves on to motivic integration and its applications to birational geometry and non-Archimedean geometry. Also included in the work is a prologue on p-adic analytic manifolds, which served as a model for motivic integration. 

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. It will also serve as a motivation for more recent and sophisticated theories that have been developed since. 
Pages
526 pages
Collection
Progress in Mathematics
Parution
2018-09-15
Marque
Birkhäuser
EAN papier
9781493978854
EAN PDF
9781493978878
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
52
Taille du fichier
7158 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
137,14 €
EAN EPUB
9781493978878
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
52
Taille du fichier
31672 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
137,14 €

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