Chapter III: Curves, p-Typical Formal Group Laws, and Lots of Witt Vectors

1978 ◽  
pp. 91-146
Keyword(s):  
Formal Group ◽  
Witt Vectors ◽  
Formal Group Laws

Kernels in the Category of Formal Group Laws

2016 ◽  
Vol 68 (2) ◽  
pp. 334-360 ◽  
Author(s):  
Oleg Demchenko ◽  
Alexander Gurevich
Keyword(s):  
Finite Field ◽  
Formal Group ◽  
Explicit Construction ◽  
Formal Groups ◽  
Witt Vectors ◽  
Formal Group Law ◽  
Formal Group Laws ◽  
Strict Isomorphism ◽  
Dieudonné Module ◽  
Group Law

AbstractFontaine described the category of formal groups over the ring of Witt vectors over a finite field of characteristic p with the aid of triples consisting of the module of logarithms, the Dieudonné module, and the morphism from the former to the latter. We propose an explicit construction for the kernels in this category in term of Fontaine's triples. The construction is applied to the formal norm homomorphism in the case of an unramified extension of ℚp and of a totally ramiûed extension of degree less or equal than p. A similar consideration applied to a global extension allows us to establish the existence of a strict isomorphism between the formal norm torus and a formal group law coming from L-series.

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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