Journal article
Crystalline cohomology of towers of curves
- Abstract:
- We investigate the geometry of finite maps and correspondences between curves, and construct canonical trace and pullback maps between Hyodo–Kato integral structures on de Rham cohomology of curves, which are functorial for finite morphisms of the generic fibres. This leads to a crystalline version of the étale cohomology of towers of modular curves considered by Hida and Ohta, whose ordinary part satisfies Λ-adic control and Eichler–Shimura theorems.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 648.4KB, Terms of use)
-
- Publisher copy:
- 10.1093/imrn/rny213
Authors
+ Centre de Recherches Mathématiques, McGill University
More from this funder
- Funding agency for:
- Vonk, J
- Grant:
- Postdoctoral Fellowship
- Publisher:
- Oxford University Press
- Journal:
- International Mathematics Research Notices More from this journal
- Volume:
- 2020
- Issue:
- 21
- Pages:
- 7454–7488
- Publication date:
- 2018-09-07
- Acceptance date:
- 2018-08-20
- DOI:
- EISSN:
-
1687-0247
- ISSN:
-
1073-7928
- Language:
-
English
- Pubs id:
-
pubs:940537
- UUID:
-
uuid:9f1b2241-7feb-4386-8ec0-b5d0239545d2
- Local pid:
-
pubs:940537
- Source identifiers:
-
940537
- Deposit date:
-
2018-11-09
- ARK identifier:
Terms of use
- Copyright holder:
- Vonk, J
- Copyright date:
- 2018
- Rights statement:
- Copyright © 2018 The Author. Published by Oxford University Press.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Oxford University Press at: https://doi.org/10.1093/imrn/rny213
If you are the owner of this record, you can report an update to it here: Report update to this record