عنوان

Motivic integration /

(Number (ISBN

149397887X

(Number (ISBN

9781493978878

Erroneous ISBN

1493978853

Erroneous ISBN

9781493978854

Title Proper

Motivic integration /

General Material Designation

[Book]

First Statement of Responsibility

Antoine Chambert-Loir, Johannes Nicaise, Julien Sebag.

Place of Publication, Distribution, etc.

New York, NY :

Name of Publisher, Distributor, etc.

Birkhäuser,

Date of Publication, Distribution, etc.

[2018]

Date of Publication, Distribution, etc.

©2018

Specific Material Designation and Extent of Item

1 online resource (xx, 526 pages) :

Other Physical Details

illustrations

Series Title

Progress in mathematics,

Volume Designation

volume 325

ISSN of Series

2296-505X ;

Text of Note

Includes bibliographical references and index.

Text of Note

Prologue: p-adic integration -- The Grothendieck ring of varieties -- Arc schemes -- Greenberg schemes -- Structure theorems for Greenberg schemes -- Motivic integration -- Applications.

0

Text of Note

"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"--Publisher's description.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9781493978878

Title

Motivic integration.

International Standard Book Number

9781493978854

Motives (Mathematics)

Algebraic geometry.

Algebraic topology.

MATHEMATICS-- Geometry-- General.

Motives (Mathematics)

MAT-- 012000

Number

Edition

Class number

Chambert-Loir, Antoine

Nicaise, Johannes

Sebag, Julien

Date of Transaction

20200823034425.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y