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.

A correction to this paper is available.

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