English

Determinant functors and deformation of Chow groups

Algebraic Geometry 2022-12-27 v1

Abstract

Using determinant functor, we describe a natural transformation from local Hilbert functor to K-theoretic cycle groups of codimension one, which were variants of Balmer's tensor triangular Chow groups. This enables us to answers a question of Bloch on infinitesimal deformation of Chow groups of divisors.

Keywords

Cite

@article{arxiv.2212.12689,
  title  = {Determinant functors and deformation of Chow groups},
  author = {Sen Yang},
  journal= {arXiv preprint arXiv:2212.12689},
  year   = {2022}
}
R2 v1 2026-06-28T07:51:37.575Z