A moving lemma for cycles with very ample modulus

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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, vanish.
Publisher
SCUOLA NORMALE SUPERIORE
Issue Date
2017-12
Language
English
Article Type
Article
Keywords

HIGHER CHOW GROUPS; SCHEMES

Citation

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, v.17, no.4, pp.1521 - 1549

ISSN
0391-173X
DOI
10.2422/2036-2145.201509_010
URI
http://hdl.handle.net/10203/239488
Appears in Collection
MA-Journal Papers(저널논문)
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