Fourier-Laplace transform of irreducible regular differential systems on the Riemann sphere - Archive ouverte HAL
Article Dans Une Revue Russian Mathematical Surveys Année : 2004

Fourier-Laplace transform of irreducible regular differential systems on the Riemann sphere

Claude Sabbah

Résumé

We show that the Fourier-Laplace transform of an irreducible regular differential system on the Riemann sphere underlies, when one only considers the part at finite distance, a polarizable regular twistor $\mathcal{D}$-module. The associated holomorphic bundle out of the origin is therefore equipped with a natural harmonic metric with a tame behaviour near the origin.

Dates et versions

hal-00110822 , version 1 (01-11-2006)

Identifiants

Citer

Claude Sabbah. Fourier-Laplace transform of irreducible regular differential systems on the Riemann sphere. Russian Mathematical Surveys, 2004, 59, pp.1165-1180. ⟨hal-00110822⟩
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