Geometric Study of a Family of Integrable Systems

Year 2018, , 78 - 92, 30.04.2018

Ahmed Lesfari

https://doi.org/10.36890/iejg.545100

Abstract

The aim of this paper is to demonstrate the rich interaction between complex algebraic geometry,

the theory of integrable systems and the geometry of its asymptotic solutions.We present a family

of integrable hamiltonian systems. We study theses systems from a different angle, assemble

different geometric methods and several views.

Keywords

Integrable systems, gap theory, abelian varieties, jacobian varieties, embeddings

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