This thesis contains the proof of an exceptional zero conjecture for the anticyclotomic p-adic L-function associated to a modular elliptic curve having split multiplicative reduction at p, and to the anticyclotomic Zp-extension of an imaginary quadratic field where p is split.
A Gross-Zagier formula for a certain anticyclotomic p-adic L-function / S. Vigni ; tutor: M. Bertolini; supervisore: M. Bertolini; coordinatore: A. Lanteri. DIPARTIMENTO DI MATEMATICA "FEDERIGO ENRIQUES", 2005. 16. ciclo, Anno Accademico 2003/2004.
A Gross-Zagier formula for a certain anticyclotomic p-adic L-function
S. Vigni
2005
Abstract
This thesis contains the proof of an exceptional zero conjecture for the anticyclotomic p-adic L-function associated to a modular elliptic curve having split multiplicative reduction at p, and to the anticyclotomic Zp-extension of an imaginary quadratic field where p is split.
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