Motivic Integration

Chambert-Loir, Antoine; Nicaise, Johannes; Sebag, Julien

doi:10.1007/978-1-4939-7887-8_6

Antoine Chambert-Loir⁸,
Johannes Nicaise⁹ &
Julien Sebag¹⁰

Part of the book series: Progress in Mathematics ((PM,volume 325))

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Abstract

In this chapter we develop the theory of motivic integration on formal schemes \(\mathfrak{X}\) over a complete discrete valuation ring R, introduced by Sebag (2004a) and generalizing the constructions of Kontsevich (1995), Denef and Loeser (1999), and Looijenga (2002).

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Authors and Affiliations

Université Paris Diderot, Sorbonne Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Paris, France
Antoine Chambert-Loir
Department of Mathematics, Imperial College London, South Kensington Campus, London, UK
Johannes Nicaise
Irmar, Université de Rennes 1, Campus de Beaulieu, Rennes Cedex, France
Julien Sebag

Authors

Antoine Chambert-Loir
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Johannes Nicaise
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Julien Sebag
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Chambert-Loir, A., Nicaise, J., Sebag, J. (2018). Motivic Integration. In: Motivic Integration. Progress in Mathematics, vol 325. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-7887-8_6

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DOI: https://doi.org/10.1007/978-1-4939-7887-8_6
Published: 15 September 2018
Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-1-4939-7885-4
Online ISBN: 978-1-4939-7887-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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