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VOL. 59 | 2010 Fourier–Laplace transform of a variation of polarized complex Hodge structure, II
Claude Sabbah

Editor(s) Masa-Hiko Saito, Shinobu Hosono, Kōta Yoshioka

## Abstract

We show that the limit, by rescaling, of the 'new supersymmetric index' attached to the Fourier–Laplace transform of a polarized variation of Hodge structure on a punctured affine line is equal to the spectral polynomial attached to the same object. We also extend the definition by Deligne of a Hodge filtration on the de Rham cohomology of a exponentially twisted polarized variation of complex Hodge structure and prove a $E_1$-degeneration property for it.

## Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1264.14011
MathSciNet: MR2683213

Digital Object Identifier: 10.2969/aspm/05910289

Subjects:
Primary: 14D07
Secondary: 32G20, 32S40