Cycle class maps for Chow groups of zero-cycles with modulus
Algebraic Geometry
2022-10-26 v2 K-Theory and Homology
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.
Cite
@article{arxiv.2111.00214,
title = {Cycle class maps for Chow groups of zero-cycles with modulus},
author = {Kay Rülling and Shuji Saito},
journal= {arXiv preprint arXiv:2111.00214},
year = {2022}
}
Comments
v2: exposition improved, typos corrected, to appear in JPAA