Syntomic complexes and p-adic étale Tate twists
The primary goal of this paper is to identify syntomic complexes with the p-adic étale Tate twists of Geisser–Sato–Schneider on regular p-torsion-free schemes. Our methods apply naturally to a broader class of schemes that we call ‘F-smooth’. The F-smoothness of regular schemes leads to new results...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2023-01-01
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| Series: | Forum of Mathematics, Pi |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S205050862200021X/type/journal_article |
| _version_ | 1811156345387220992 |
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| author | Bhargav Bhatt Akhil Mathew |
| author_facet | Bhargav Bhatt Akhil Mathew |
| author_sort | Bhargav Bhatt |
| collection | DOAJ |
| description | The primary goal of this paper is to identify syntomic complexes with the p-adic étale Tate twists of Geisser–Sato–Schneider on regular p-torsion-free schemes. Our methods apply naturally to a broader class of schemes that we call ‘F-smooth’. The F-smoothness of regular schemes leads to new results on the absolute prismatic cohomology of regular schemes. |
| first_indexed | 2024-04-10T04:48:54Z |
| format | Article |
| id | doaj.art-fa59a3a203b04a748047efdd22644447 |
| institution | Directory Open Access Journal |
| issn | 2050-5086 |
| language | English |
| last_indexed | 2024-04-10T04:48:54Z |
| publishDate | 2023-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Pi |
| spelling | doaj.art-fa59a3a203b04a748047efdd226444472023-03-09T12:34:18ZengCambridge University PressForum of Mathematics, Pi2050-50862023-01-011110.1017/fmp.2022.21Syntomic complexes and p-adic étale Tate twistsBhargav Bhatt0Akhil Mathew1Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109–1043; E-mail:Department of Mathematics, University of Chicago, 5734 S University Ave., Chicago, IL, 60637;The primary goal of this paper is to identify syntomic complexes with the p-adic étale Tate twists of Geisser–Sato–Schneider on regular p-torsion-free schemes. Our methods apply naturally to a broader class of schemes that we call ‘F-smooth’. The F-smoothness of regular schemes leads to new results on the absolute prismatic cohomology of regular schemes.https://www.cambridge.org/core/product/identifier/S205050862200021X/type/journal_article14F3014F42 |
| spellingShingle | Bhargav Bhatt Akhil Mathew Syntomic complexes and p-adic étale Tate twists Forum of Mathematics, Pi 14F30 14F42 |
| title | Syntomic complexes and p-adic étale Tate twists |
| title_full | Syntomic complexes and p-adic étale Tate twists |
| title_fullStr | Syntomic complexes and p-adic étale Tate twists |
| title_full_unstemmed | Syntomic complexes and p-adic étale Tate twists |
| title_short | Syntomic complexes and p-adic étale Tate twists |
| title_sort | syntomic complexes and p adic etale tate twists |
| topic | 14F30 14F42 |
| url | https://www.cambridge.org/core/product/identifier/S205050862200021X/type/journal_article |
| work_keys_str_mv | AT bhargavbhatt syntomiccomplexesandpadicetaletatetwists AT akhilmathew syntomiccomplexesandpadicetaletatetwists |