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MILNOR K-THEORY, F-ISOCRYSTALS AND SYNTOMIC REGULATORS
| Title: | MILNOR K-THEORY, F-ISOCRYSTALS AND SYNTOMIC REGULATORS |
| Authors: | Asakura, Masanori Browse this author →KAKEN DB | | Miyatani, Kazuaki Browse this author →KAKEN DB |
| Issue Date: | 2024 |
| Publisher: | Cambridge University Press |
| Journal Title: | Journal of the Institute of Mathematics of Jussieu |
| Volume: | 23 |
| Start Page: | 1 |
| End Page: | 59 |
| Publisher DOI: | 10.1017/S1474748023000208 |
| 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. |
| Rights: | This article has been published in a revised form in [Journal of the Institute of Mathematics of Jussieu] [https://doi.org/10.1017/S1474748023000208]. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © copyright holder. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/91149 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 朝倉 政典
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