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

Iwasawa theory and elliptic curves: supersingular primes

1982 ◽  
pp. 379-383
Author(s):  
Karl Rubin
Keyword(s):  
Elliptic Curves ◽  
Iwasawa Theory ◽  
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.

scholarly journals Iwasawa theory for elliptic curves at supersingular primes: A pair of main conjectures

2012 ◽  
Vol 132 (7) ◽  
pp. 1483-1506 ◽  
Author(s):  
Florian E. Ito Sprung
Keyword(s):  
Elliptic Curves ◽  
Iwasawa Theory ◽  
Supersingular Primes

Iwasawa theory for elliptic curves at supersingular primes

2003 ◽  
Vol 152 (1) ◽  
pp. 1-36 ◽  
Author(s):  
Shin-ichi Kobayashi
Keyword(s):  
Elliptic Curves ◽  
Iwasawa Theory ◽  
Supersingular Primes

Local units, elliptic units, Heegner points and elliptic curves

1987 ◽  
Vol 88 (2) ◽  
pp. 405-422 ◽  
Author(s):  
Karl Rubin
Keyword(s):  
Elliptic Curves ◽  
Heegner Points ◽  
Elliptic Units

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

Heegner Points and the Rank of Elliptic Curves over Large Extensions of Global Fields

2008 ◽  
Vol 60 (3) ◽  
pp. 481
Author(s):  
Florian Breuer ◽  
Bo-Hae Im
Keyword(s):  
Elliptic Curves ◽  
Heegner Points ◽  
Global Fields

Note On Supersingular Primes of Elliptic Curves Over Q

1988 ◽  
Vol 20 (4) ◽  
pp. 293-296 ◽  
Author(s):  
M. L. Brown
Keyword(s):  
Elliptic Curves ◽  
Supersingular Primes
Sign in / Sign up

Export Citation Format

Share Document