Integrable deformations and degenerations of some irregular singularities

Claude Sabbah (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

Inspired by an article of Cotti, Dubrovin and Guzzetti arXiv:1706.04808, we extend to a degenerate case a result of Malgrange on integrable deformations of irregular singularities. We give an application to integrable deformations of the solution of some Birkhoff problem and apply it to the construction of Frobenius manifolds.

Domaines: Géométrie algébrique [math.AG]

Claude Sabbah. Integrable deformations and degenerations of some irregular singularities. Publications of the Research Institute for Mathematical Sciences, 2021, 57 (3-4), pp.755-794. ⟨10.4171/PRIMS/57-3-2⟩. ⟨hal-02322296⟩