Motivic integration

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Abstract

In this chapter we develop the theory of motivic integration on formal schemes 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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Chambert-Loir, A., Nicaise, J., & Sebag, J. (2018). Motivic integration. In Progress in Mathematics (Vol. 325, pp. 305–361). Springer Basel. https://doi.org/10.1007/978-1-4939-7887-8_6

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