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MILNOR K-THEORY, F-ISOCRYSTALS AND SYNTOMIC REGULATORS
Published online by Cambridge University Press: 08 June 2023
Abstract
We introduce a category of filtered F-isocrystals and construct a symbol map from Milnor K-theory to the group of 1-extensions of filtered F-isocrystals. We show that our symbol map is compatible with the syntomic symbol map to the log syntomic cohomology by Kato and Tsuji. These are fundamental materials in our computations of syntomic regulators which we work in other papers.
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 23 , Issue 3 , May 2024 , pp. 1357 - 1415
- Copyright
- © The Author(s), 2023. Published by Cambridge University Press
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