Motivic Integration

Name: Motivic Integration
SKU: 27700037
Price: 388.99 AUD
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Hardback

Series:

Progress in Mathematics

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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.

Release date Australia

September 15th, 2018

Author

Audience

Postgraduate, Research & Scholarly

Edition

1st ed. 2018

Illustrations

47 Illustrations, black and white; XX, 526 p. 47 illus.

Pages

526

Series

Progress in Mathematics

ISBN-13

9781493978854

Product ID

27700037

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