Weight Filtration of the Mixed Hodge Structure of Period Integrals and Hyperplane Arrangements.
Topology of Arrangements and Applications
October 06,2004 02:00 PM to 02:45 PM
Speakers:
Tanabe, Susumu
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Summary: |
The lecture describes a mixed Hodge structure on the primitive part of the
cohomology of an affine hypersurface defined in a torus. The filtration is
first defined on the quotient of a polynomial ring by a Jacobian. It
turns out that elements of the weight and Hodge filtration give
informations about the poles of the Mellin transform which is built from period integrals
and it gives information about the asymptotic monodromy of period
integrals defined for the element of the cohomology
with assigned Hodge and weight filtration. An hyperplane arrangement
appears on the poles of the Mellin transform whose multiplicity
corresponds to the weight filtration. |
Keywords: |
Hyperplane Arrangements; Mellin Transform |
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Lecture #10704
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