Integration in algebraically closed valued fields

Annals of Pure and Applied Logic 162 (5):384-408 (2011)
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Abstract

The first two steps of the construction of motivic integration in the fundamental work of Hrushovski and Kazhdan [8] have been presented in Yin [12]. In this paper we present the final third step. As in Yin [12], we limit our attention to the theory of algebraically closed valued fields of pure characteristic 0 expanded by a -generated substructure S in the language . A canonical description of the kernel of the homomorphism is obtained

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10.1016/j.apal.2010.12.001

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Citations of this work

Integration in algebraically closed valued fields with sections.Yimu Yin - 2013 - Annals of Pure and Applied Logic 164 (1):1-29.

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Special transformations in algebraically closed valued fields.Yimu Yin - 2010 - Annals of Pure and Applied Logic 161 (12):1541-1564.

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