Article Dans Une Revue Memoirs of the American Mathematical Society Année : 2022

Intrinsic approach to Galois theory of q-difference equations

Résumé

The Galois theory of difference equations has witnessed a major evolution in the last two decades. In the particular case of -difference equations, authors have introduced several different Galois theories. In this memoir we consider an arithmetic approach to the Galois theory of -difference equations and we use it to establish an arithmetical description of some of the Galois groups attached to -difference systems.

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hal-02147378 , version 1 (22-07-2025)

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Lucia Di Vizio, Charlotte Hardouin, Anne Granier. Intrinsic approach to Galois theory of q-difference equations. Memoirs of the American Mathematical Society, 2022, 279 (1376), ⟨10.1090/memo/1376⟩. ⟨hal-02147378⟩
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