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

نویسندگان

چکیده

For a smooth scheme X of pure dimension d over field k and an effective Cartier divisor D?X whose support is simple normal crossing divisor, we construct cycle class mapcycX|D:CH0(X|D)?HNisd(X,KdM(OX,ID)) from the Chow group zero-cycles with modulus to cohomology relative Milnor K-sheaf.

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2023

ISSN: ['1873-1376', '0022-4049']

DOI: https://doi.org/10.1016/j.jpaa.2022.107282