A ndimension commutative formal group over a commutative ring R can be described in a general context, with very restrictive results. However if we restrict ourselves to the onedimensional case over a padic integer ring, we get much more precised and accurate results, from their construction to their classiﬁcation. The classiﬁcation gives us a very important invariant of the class, which is the height. In addition to that there is a second invariant for a class, that is the Tate module attached to it. The latter invariant is a key tool for constructing algebraic and arithmetic structures attached to a formal group (the class). In this project we will discuss the padic period which at some extend is an invariant for the class of a commutative onedimensional formal group over a padic ring.
Padic periods of onedimensional commutative formal groups
Ngandjia Mbembe, Chamir
2020/2021
Abstract
A ndimension commutative formal group over a commutative ring R can be described in a general context, with very restrictive results. However if we restrict ourselves to the onedimensional case over a padic integer ring, we get much more precised and accurate results, from their construction to their classiﬁcation. The classiﬁcation gives us a very important invariant of the class, which is the height. In addition to that there is a second invariant for a class, that is the Tate module attached to it. The latter invariant is a key tool for constructing algebraic and arithmetic structures attached to a formal group (the class). In this project we will discuss the padic period which at some extend is an invariant for the class of a commutative onedimensional formal group over a padic ring.File  Dimensione  Formato  

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https://hdl.handle.net/20.500.12608/21432