MILNOR K-THEORY, F-ISOCRYSTALS AND SYNTOMIC REGULATORS
Description
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.
Journal
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- Journal of the Institute of Mathematics of Jussieu
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Journal of the Institute of Mathematics of Jussieu 23 (3), 1357-1415, 2024-05
Cambridge University Press
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Details 詳細情報について
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- CRID
- 1050862256942669312
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- HANDLE
- 2115/91149
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- ISSN
- 14747480
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB