Zero-cycles with modulus and relative K-theory
Zero-cycles with modulus and relative K-theory
Let D be an effective Cartier divisor on a regular quasiprojective scheme X of dimension d≥1 over a field. For an integer n≥0, we construct a cycle class map from the higher Chow groups with modulus {CHn+d(X|mD,n)}m≥1 to the relative K-groups {Kn(X,mD)}m≥1 in the category of pro-abelian groups. We show …