Rubin's conjecture on local units in the anticyclotomic tower at inert primes

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.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.4007/annals.2021.194.3.8	DOI	Article

ORCID:

Author	ORCID
Burungale, Ashay	0000-0002-2469-2115

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.

Funders:

Funding Agency	Grant Number
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

Subject Keywords:

CM elliptic curves, Iwasawa theory, local units, p-adic L-functions

Issue or Number:

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.

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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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