English

K-theory and 0-cycles on schemes

Algebraic Geometry 2019-06-05 v4

Abstract

We prove Bloch's formula for 0-cycles on affine schemes over algebraically closed fields. We prove this formula also for projective schemes over algebraically closed fields which are regular in codimension one. Several applications, including Bloch's formula for 0-cycles with modulus, are derived.

Keywords

Cite

@article{arxiv.1803.00837,
  title  = {K-theory and 0-cycles on schemes},
  author = {Rahul Gupta and Amalendu Krishna},
  journal= {arXiv preprint arXiv:1803.00837},
  year   = {2019}
}

Comments

40 pages, Final version, to appear in J. Algebraic Geom. (JAG)

R2 v1 2026-06-23T00:39:21.818Z