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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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〉
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https://hal.archives-ouvertes.fr/hal-00816198
Contributeur : Claude Sabbah <>
Soumis le : samedi 20 avril 2013 - 14:05:27
Dernière modification le : jeudi 10 mai 2018 - 01:57:28

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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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