Weak Néron models for cubic polynomial maps over a non-Archimedean field

Jean-Yves Briend (1, 2) , Liang-Chung Hsia (3)

1 I2M - Institut de Mathématiques de Marseille
2 AMU - Aix Marseille Université
3 NTNU - National Taiwan Normal University

The purpose of this note is to give an effective criterion for a cubic polynomial on a non-archimedean fiel to admit, or not, a weak Néron model.

Domains: Mathematics [math]; Algebraic Geometry [math.AG]; Mathematics [math]; Dynamical Systems [math.DS]

Jean-Yves Briend, Liang-Chung Hsia. Weak Néron models for cubic polynomial maps over a non-Archimedean field. Acta Arithmetica, 2012, 153 (4), pp.415-428. ⟨10.4064/aa153-4-5⟩. ⟨hal-02926039⟩