Published November 2021
| Published
Journal Article
Open
Rubin's conjecture on local units in the anticyclotomic tower at inert primes
Chicago
An error occurred while generating the citation.
Abstract
We prove a fundamental conjecture of Rubin on the structure of local units in the anticyclotomic ℤ_p-extension of the unramified quadratic extension of ℚ_p for p ≥ 5 a prime.
Additional Information
© 2021 Department of Mathematics, Princeton University. (Received: April 1, 2021) (Revised: July 6, 2021) This work was partially supported by the NSF grant DMS2001409, and the JSPS KAKENHI grants JP16K13742, JP17H02836, JP17K14173 and JP18J01237. The authors thank Adebisi Agboola, Ye Tian, Chris Skinner and Wei Zhang for instructive comments. They also thank Naomi Jochnowitz and Jeremy Rouse for helpful exchanges. They are grateful to the referee for valuable suggestions. The authors would like to express their sincere gratitude to Karl Rubin for his inspiring oeuvre, the influence of which is transparent.Attached Files
Published - annals.2021.194.3.8.pdf
Files
annals.2021.194.3.8.pdf
Files
(1.0 MB)
| Name | Size | Download all |
|---|---|---|
|
md5:585fd850759cd9ea4498a2e2ff591a76
|
1.0 MB | Preview Download |
Additional details
- Eprint ID
- 112316
- Resolver ID
- CaltechAUTHORS:20211208-951535000
- NSF
- DMS-2001409
- Japan Society for the Promotion of Science (JSPS)
- JP16K13742
- Japan Society for the Promotion of Science (JSPS)
- JP17H02836
- Japan Society for the Promotion of Science (JSPS)
- JP17K14173
- Japan Society for the Promotion of Science (JSPS)
- JP18J01237
- Created
-
2021-12-09Created from EPrint's datestamp field
- Updated
-
2021-12-09Created from EPrint's last_modified field