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

Kay Rülling; Shuji Saito

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arXiv · 2111.00214

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

Kay Rülling·Shuji Saito

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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.

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Kay Rülling, Shuji Saito. 2021-10-30. Cycle class maps for Chow groups of zero-cycles with modulus. https://arxiv.org/abs/2111.00214

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