We prove Bloch's formula for 0-cycles on affine schemes over alge-braically closed fields. We prove this formula also for projective schemes over algebraically closed fields which are regular in codimension one. Bloch's for-mula for 0-cycles with modulus, the Bloch-Srinivas conjecture for 0-cycles and its stronger version in positive characteristic, and an answer to a question of Kerz-Saito in a special case are derived as applications.
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