Burungale, Ashay and Kobayashi, Shinichi and Ota, Kazuto (2021) Rubin's conjecture on local units in the anticyclotomic tower at inert primes. Annals of Mathematics, 194 (3). pp. 943-966. ISSN 0003-486X. doi:10.4007/annals.2021.194.3.8. https://resolver.caltech.edu/CaltechAUTHORS:20211208-951535000
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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.
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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. | ||||||||||||
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Subject Keywords: | CM elliptic curves, Iwasawa theory, local units, p-adic L-functions | ||||||||||||
Issue or Number: | 3 | ||||||||||||
Classification Code: | AMS Classi�cation:Primary:11G07,11G15,11R23 | ||||||||||||
DOI: | 10.4007/annals.2021.194.3.8 | ||||||||||||
Record Number: | CaltechAUTHORS:20211208-951535000 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20211208-951535000 | ||||||||||||
Official Citation: | Burungale, Ashay A., Shinichi Kobayashi, and Kazuto Ota. “Rubin’s Conjecture on Local Units in the Anticyclotomic Tower at Inert Primes.” Annals of Mathematics 194, no. 3 (2021): 943–66. https://www.jstor.org/stable/10.4007/annals.2021.194.3.8. | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 112316 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | George Porter | ||||||||||||
Deposited On: | 09 Dec 2021 17:51 | ||||||||||||
Last Modified: | 09 Dec 2021 17:51 |
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