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2020 A moving lemma for relative 0-cycles
Amalendu Krishna, Jinhyun Park
Algebra Number Theory 14(4): 991-1054 (2020). DOI: 10.2140/ant.2020.14.991

Abstract

We prove a moving lemma for the additive and ordinary higher Chow groups of relative 0-cycles of regular semilocal k-schemes essentially of finite type over an infinite perfect field. From this, we show that the cycle classes can be represented by cycles that possess certain finiteness, surjectivity, and smoothness properties. It plays a key role in showing that the crystalline cohomology of smooth varieties can be expressed in terms of algebraic cycles.

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Amalendu Krishna. Jinhyun Park. "A moving lemma for relative 0-cycles." Algebra Number Theory 14 (4) 991 - 1054, 2020. https://doi.org/10.2140/ant.2020.14.991

Information

Received: 13 April 2019; Revised: 18 November 2019; Accepted: 16 December 2019; Published: 2020
First available in Project Euclid: 30 June 2020

zbMATH: 07224498
MathSciNet: MR4114064
Digital Object Identifier: 10.2140/ant.2020.14.991

Subjects:
Primary: 14C25
Secondary: 14F42 , 19E15

Keywords: additive higher Chow group , algebraic cycles , Grassmannian , higher Chow group , linear projection , moving lemma

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.14 • No. 4 • 2020
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