paper

K-theory and 0-cycles on schemes

arXiv:1803.00837

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.

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