scholarly journals Equivariant formal group laws and complex-oriented spectra over primary cyclic groups: elliptic curves, Barsotti–Tate groups, and other examples

2021 ◽  
Author(s):  
Po Hu ◽  
Igor Kriz ◽  
Petr Somberg
Keyword(s):  
Elliptic Curves ◽  
Formal Group ◽  
Cyclic Groups ◽  
Formal Group Laws

scholarly journals Construction of elliptic curves with cyclic groups over prime fields

2006 ◽  
Vol 73 (2) ◽  
pp. 245-254 ◽  
Author(s):  
Naoya Nakazawa
Keyword(s):  
Elliptic Curves ◽  
Finite Fields ◽  
Function Field ◽  
Modular Group ◽  
Modular Function ◽  
Invariant Function ◽  
Rational Points ◽  
Modular Invariant ◽  
Cyclic Groups ◽  
Prime Fields

The purpose of this article is to construct families of elliptic curves E over finite fields F so that the groups of F-rational points of E are cyclic, by using a representation of the modular invariant function by a generator of a modular function field associated with the modular group Γ0(N), where N = 5, 7 or 13.

scholarly journals Quantum Cobordisms and Formal Group Laws

2007 ◽  
pp. 155-171 ◽  
Author(s):  
Tom Coates ◽  
Alexander Givental
Keyword(s):  
Formal Group ◽  
Formal Group Laws

Appendix 2 Formal Group Laws

1986 ◽  
pp. 354-379
Keyword(s):  
Formal Group ◽  
Formal Group Laws

Primes, elliptic curves and cyclic groups

2019 ◽  
pp. 1-69
Author(s):  
Alina Cojocaru
Keyword(s):  
Elliptic Curves ◽  
Cyclic Groups

Addition Theorems, Formal Group Laws and Integrable Systems

2010 ◽  
Author(s):  
V. M. Buchstaber ◽  
E. Yu. Bunkova ◽  
Piotr Kielanowski ◽  
Victor Buchstaber ◽  
Anatol Odzijewicz ◽  
...  
Keyword(s):  
Integrable Systems ◽  
Formal Group ◽  
Addition Theorems ◽  
Formal Group Laws

Coefficient rings of formal group laws

2015 ◽  
Vol 206 (11) ◽  
pp. 1524-1563 ◽  
Author(s):  
V M Buchstaber ◽  
A V Ustinov
Keyword(s):  
Formal Group ◽  
Formal Group Laws
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