Chern character and obstructions to deforming cycles

2021/09/22 by Sen Yang, Yang, Sen
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2109.10723

Abstract

Following Bloch-Esnault-Kerz and Green-Griffiths' recent works on deformation of algebraic cycle classes, we use Chern character from K-theory to negative cyclic homology to show how to eliminate obstructions to deforming cycles.

Related

• p-adic deformation of algebraic cycle classes
• A universal characterization of the Chern character maps
• Deformation of K-theoretic cycles
• A chain-level HKR-type map and a Chern character formula
• Chern characters for curved dg-algebras