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arXiv · 1507.05429

A moving lemma for cycles with very ample modulus

Amalendu Krishna·Jinhyun Park
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Abstract

We prove a moving lemma for higher Chow groups with modulus, in the sense of Binda-Kerz-Saito, of projective schemes when the modulus is given by a very ample divisor. This provides one of the first cases of moving lemmas for cycles with modulus, not covered by the additive higher Chow groups. We apply this to prove a contravariant functoriality of higher Chow groups with modulus. We use our moving techniques to show that the higher Chow groups of a line bundle over a scheme, with the 0-section as the modulus, vanishes.

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Amalendu Krishna, Jinhyun Park. 2015-07-20. A moving lemma for cycles with very ample modulus. https://arxiv.org/abs/1507.05429

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