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arXiv · 1507.07619

A moving lemma for algebraic cycles with modulus and contravariance

Wataru Kai
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Abstract

We prove a moving lemma which implies the contravariance of Bloch-Esnault's additive higher Chow group in smooth affine varieties and Binda-Saito's higher Chow group (taken in the Nisnevich topology) in smooth varieties equipped with effective Cartier divisors. The new ingredients in the moving method are parallel translation {\em with modulus} in the affine space that involves a new integer parameter, and Noether's normalization lemma over a Dedekind base.

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Wataru Kai. 2018-05-19. A moving lemma for algebraic cycles with modulus and contravariance. https://doi.org/10.1093/imrn%2Frnz018

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