p-Converse to a Theorem of Gross-Zagier, Kolyvagin, and Rubin for Small Primes

p-Converse to a Theorem of Gross-Zagier, Kolyvagin, and Rubin for Small Primes

Let E be a CM elliptic curve over the rationals and p a good, ordinary prime. We show the implication: corank<sub>(Z<sub>p</sub>)</sub>Sel<sub>(p<sup>∞</sup>)</sub>(E/<sub>Q</sub>) = 1 ⟹ ord<sub>(s=1)</sub>L(s,E/<sub>Q<...

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Bibliographic Details
Main Author: Yu, Qiyao (Vivian)
Format: Others
Language:en
Published: 2021
Online Access:https://thesis.library.caltech.edu/14225/3/Caltech_Senior_Thesis.pdf
Yu, Qiyao (Vivian) (2021) p-Converse to a Theorem of Gross-Zagier, Kolyvagin, and Rubin for Small Primes. Senior thesis (Major), California Institute of Technology. doi:10.7907/ccbk-ht28. https://resolver.caltech.edu/CaltechTHESIS:06022021-000654935 <https://resolver.caltech.edu/CaltechTHESIS:06022021-000654935>

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