Hodge theory of the middle convolution

Michael Dettweiler; Claude Sabbah

doi:10.4171/PRIMS/119

Hodge theory of the middle convolution

Michael Dettweiler
, Claude Sabbah

University of Bayreuth

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	761-800
Nombre de pages	40
journal	Publications of the Research Institute for Mathematical Sciences
Volume	49
Numéro de publication	4
Les DOIs	https://doi.org/10.4171/PRIMS/119
état	Publié - 1 janv. 2013

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title = "Hodge theory of the middle convolution",

abstract = "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.",

keywords = "Hodge theory, Katz algorithm, Middle convolution, Rigid local system, ℓ-adic representation",

author = "Michael Dettweiler and Claude Sabbah",

year = "2013",

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AB - 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.

KW - Hodge theory

KW - Katz algorithm

KW - Middle convolution

KW - Rigid local system

KW - ℓ-adic representation

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M3 - Article

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JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

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Hodge theory of the middle convolution

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