Hodge theory of the middle convolution

Abstract : We compute the behaviour of Hodge data by tensor product with a unitary rank-one local system and middle convolution by a Kummer unitary rank-one local system for an irreducible variation of polarized complex Hodge structure on a punctured complex affine line. We give applications of these formulas to local systems with G_2-monodromy.
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Contributor : Claude Sabbah <>
Submitted on : Saturday, April 20, 2013 - 2:05:27 PM
Last modification on : Wednesday, March 27, 2019 - 4:10:22 PM

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Michael Dettweiler, Claude Sabbah. Hodge theory of the middle convolution. Publications of the Research Institute for Mathematical Sciences, European Mathematical Society, 2013, 49 (4), pp.761-800. ⟨http://www.ems-ph.org/journals/show_abstract.php?issn=0034-5318&vol=49&iss=4&rank=5⟩. ⟨10.4171/PRIMS/119⟩. ⟨hal-00816198⟩

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