Cycle class maps for Chow groups of zero-cycles with modulus

Abstract

For a quasi-projective smooth scheme X of pure dimension d over a field k and an effective Cartier divisor D on X whose support is a simple normal crossing divisor, we construct a cycle class map from the Chow group of zero-cycles with modulus to the top cohomology of the dth relative Milnor K-sheaf.

v2: exposition improved, typos corrected, to appear in JPAA

Cited by in corpus (1)

• Ramification theory of reciprocity sheaves, II, Higher local symbols