A moving lemma for cycles with very ample modulus

2015/07/20 by Krishna, Amalendu, Park, Jinhyun
#19E15 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14C25 #Secondary 13F35

paper · doi:10.48550/arxiv.1507.05429

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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• Moving Lemma for additive Chow groups and applications
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• Arithmetic Cycles with Modulus
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