Gauss-Manin systems, Brieskorn lattices and Frobenius structures (II)

Antoine Douai (1) , Claude Sabbah (2)

1 JAD - Laboratoire Jean Alexandre Dieudonné
2 CMLS - Centre de Mathématiques Laurent Schwartz

We give an explicit description of the canonical Frobenius structure attached (by the results of the first part of this article) to the polynomial f(u_0,...,u_n)=w_0u_0+...+w_nu_n restricted to the torus u_0^{w_0}...u_n^{w_n}=1, for any family of positive integers w_0,...,w_n such that gcd(w_0,...,w_n)=1.

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Antoine Douai, Claude Sabbah. Gauss-Manin systems, Brieskorn lattices and Frobenius structures (II). Frobenius manifolds, 2002, Bonn, Germany. pp.1-18. ⟨hal-00816195⟩