- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:38
Publications of the Research Institute for Mathematical Sciences
Publ. Res. Inst. Math. Sci.
PRIMS
0034-5318
1663-4926
General
10.4171/PRIMS
http://www.ems-ph.org/doi/10.4171/PRIMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Research Institute for Mathematical Sciences, Kyoto University
49
2013
4
Hodge Theory of the Middle Convolution
Michael
Dettweiler
Universität Bayreuth, BAYREUTH, GERMANY
Claude
Sabbah
Ecole Polytechnique, PALAISEAU CEDEX, FRANCE
middle convolution, rigid local system, Katz algorithm, Hodge theory, $\ell$-adic representation
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 affi ne line.
Algebraic geometry
Several complex variables and analytic spaces
Ordinary differential equations
761
800
10.4171/PRIMS/119
http://www.ems-ph.org/doi/10.4171/PRIMS/119