Fourier-Laplace transform of a variation of polarized complex Hodge structure

Claude Sabbah (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

We show that the Fourier-Laplace transform of a regular holonomic module over the Weyl algebra of one variable, which generically underlies a variation of polarized Hodge structure, underlies itself an integrable variation of polarized twistor structure.

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

Claude Sabbah. Fourier-Laplace transform of a variation of polarized complex Hodge structure. Journal für die reine und angewandte Mathematik, 2008, pp.123-158. ⟨hal-00854559⟩