La Construction d’Abbes et Saito pour les Connexions Méromorphes: Aspect Formel en Dimension 1

  • Jean-Baptiste Teyssier

    Freie Universität Berlin, Germany

Abstract

In [AS09], Abbes and Saito define a measure of wild ramification of -adique sheaves at a generic point of a complete trait of characteristic , with . Adapting their construction to differential modules of characteristic zero, we show for such a module a formula which expresses that geometric invariant in terms of differential forms appearing in the Levelt–Turrittin decomposition of .

Cite this article

Jean-Baptiste Teyssier, La Construction d’Abbes et Saito pour les Connexions Méromorphes: Aspect Formel en Dimension 1. Publ. Res. Inst. Math. Sci. 50 (2014), no. 3, pp. 457–476

DOI 10.4171/PRIMS/140