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Communication Dans Un Congrès Année : 2021

On The Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry

Résumé

This paper presents the relationship between differential algebra and tropical differential algebraic geometry, mostly focusing on the existence problem of formal power series solutions for systems of polynomial ODE and PDE. Moreover, it improves an approximation theorem involved in the proof of the Fundamental Theorem of tropical differential algebraic geometry which permits to improve this latter by dropping the base field uncountability hypothesis used in the original version.
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Dates et versions

hal-03225922 , version 1 (13-05-2021)
hal-03225922 , version 2 (03-07-2021)

Identifiants

  • HAL Id : hal-03225922 , version 2

Citer

François Boulier, Sebastian Falkensteiner, Marc Paul Noordman, Omar Leon Sanchez. On The Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry. Computer Algebra in Scientific Computing, Sep 2021, Sochi, Russia. pp.62-77. ⟨hal-03225922v2⟩
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