On flat pullbacks for Chow groups

نویسندگان

چکیده

It is a fundamental property of the Chow groups algebraic schemes that they are contra-functorial with respect to flat morphisms between schemes. While pullback homomorphism easy define at level cycles, crucial step show cycles preserves rational equivalence, so it descends groups. The purpose this note give natural sheaf theoretic proof preservation equivalence under on cycles.

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ژورنال

عنوان ژورنال: Proceedings - Mathematical Sciences

سال: 2022

ISSN: ['0973-7685', '0253-4142']

DOI: https://doi.org/10.1007/s12044-022-00695-2