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Published November 2021 | Version Published
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Rubin's conjecture on local units in the anticyclotomic tower at inert primes

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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.

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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Published - annals.2021.194.3.8.pdf

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Additional details

Identifiers

Eprint ID
112316
Resolver ID
CaltechAUTHORS:20211208-951535000

Funding

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

Dates

Created
2021-12-09
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Updated
2021-12-09
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