Hodge Theory of the Middle Convolution

被引：22

作者：

Dettweiler, Michael ^{[1
]}

Sabbah, Claude ^{[2
]}

机构：

[1] Univ Bayreuth, Dept Math, Lehrstuhl Math Zahlentheorie 4, D-95440 Bayreuth, Germany

[2] Ecole Polytech, CNRS, Ctr Math Laurent Schwartz, UMR 7640, F-91128 Palaiseau, France

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2013年 / 49卷 / 04期

关键词：

middle convolution; rigid local system; Katz algorithm; Hodge theory; l-adic representation;

D O I：

10.4171/PRIMS/119

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：761 / 800

页数：40

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