Hodge Theory of the Middle Convolution

  • Michael Dettweiler

    Universität Bayreuth, Germany
  • Claude Sabbah

    Ecole Polytechnique, Palaiseau, France


We compute the behaviour of Hodge data under tensor product with a unitary rank-one local system and middle convolution with a Kummer unitary rank-one local system for an irreducible variation of polarized complex Hodge structure on a punctured complex affine line.

Cite this article

Michael Dettweiler, Claude Sabbah, Hodge Theory of the Middle Convolution. Publ. Res. Inst. Math. Sci. 49 (2013), no. 4, pp. 761–800

DOI 10.4171/PRIMS/119