scholarly journals Plus/minus Heegner points and Iwasawa theory of elliptic curves at supersingular primes

2018 ◽  
Vol 12 (3) ◽  
pp. 315-347 ◽  
Author(s):  
Matteo Longo ◽  
Stefano Vigni
Keyword(s):  
Elliptic Curves ◽  
Iwasawa Theory ◽  
Heegner Points ◽  
Supersingular Primes

scholarly journals Iwasawa theory for modular forms at supersingular primes

2011 ◽  
Vol 147 (3) ◽  
pp. 803-838 ◽  
Author(s):  
Antonio Lei
Keyword(s):  
Elliptic Curves ◽  
Modular Forms ◽  
Iwasawa Theory ◽  
Selmer Groups ◽  
Main Conjecture ◽  
Supersingular Primes

AbstractWe generalise works of Kobayashi to give a formulation of the Iwasawa main conjecture for modular forms at supersingular primes. In particular, we give analogous definitions of the plus and minus Coleman maps for normalised new forms of arbitrary weights and relate Pollack’s p-adic L-functions to the plus and minus Selmer groups. In addition, by generalising works of Pollack and Rubin on CM elliptic curves, we prove the ‘main conjecture’ for CM modular forms.

Chow–Heegner Points on CM Elliptic Curves and Values of p-adic L-functions

2012 ◽  
Vol 2014 (3) ◽  
pp. 745-793 ◽  
Author(s):  
Massimo Bertolini ◽  
Henri Darmon ◽  
Kartik Prasanna
Keyword(s):  
Elliptic Curves ◽  
Heegner Points
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