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- W2278661678 abstract "Given a mixed Hodge module $mathcal{N}$ and a meromorphic function $f$ on a complex manifold, we associate to these data a filtration (the irregular Hodge filtration) on the exponentially twisted holonomic module $mathcal{N}otimes mathcal{E}^{f}$ , which extends the construction of Esnault et al. ( $E_{1}$ -degeneration of the irregular Hodge filtration (with an appendix by Saito), J. reine angew. Math. (2015), doi: 10.1515/crelle-2014-0118 ). We show the strictness of the push-forward filtered ${mathcal{D}}$ -module through any projective morphism ${itpi}:Xrightarrow Y$ , by using the theory of mixed twistor ${mathcal{D}}$ -modules of Mochizuki. We consider the example of the rescaling of a regular function $f$ , which leads to an expression of the irregular Hodge filtration of the Laplace transform of the Gauss–Manin systems of $f$ in terms of the Harder–Narasimhan filtration of the Kontsevich bundles associated with $f$ ." @default.
- W2278661678 created "2016-06-24" @default.
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- W2278661678 date "2015-05-21" @default.
- W2278661678 modified "2023-10-07" @default.
- W2278661678 title "ON THE IRREGULAR HODGE FILTRATION OF EXPONENTIALLY TWISTED MIXED HODGE MODULES" @default.
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- W2278661678 doi "https://doi.org/10.1017/fms.2015.8" @default.
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