Moving Lemma for additive Chow groups and applications

2009/09/17 by Amalendu Krishna, Krishna, Amalendu, Jinhyun Park +1
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.0909.3155

Abstract

We prove moving lemma for additive higher Chow groups of smooth projective varieties. As applications, we prove the very general contravariance property of additive higher Chow groups. Using the moving lemma, we establish the structure of graded-commutative differential graded algebra (CDGA) on these groups.

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• A moving lemma for cycles with very ample modulus
• Additive Chow groups of schemes
• Pullback and Weil transfer on Chow groups
• A Hochschild-cyclic approach to additive higher Chow cycles
• Higher arithmetic Chow groups