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July 22, 2025Open Access

Fourier-Sato transform for monodromic mixed Hodge modules

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Key Points

The Fourier-Sato transform provides a novel framework for analyzing monodromic mixed Hodge modules.
This construction opens avenues for new mathematical insights and applications in algebraic geometry.
The integration of the Fourier-Sato transform with mixed Hodge modules highlights important relationships between them.
Further exploration of these modules can lead to advancements in understanding geometric and topological properties.

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Implication

Construction of the Fourier-Sato transform enhances understanding of mixed Hodge modules and their properties.

Abstract

We discuss a construction of the Fourier-Sato transform for monodromic mixed Hodge modules.

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Cite This Study

R. Virk (2025) studied this question.

synapsesocial.com/papers/68d473bb31b076d99fa6ca4a https://doi.org/10.48550/arxiv.2507.16170

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1The Hodge filtration of a monodromic mixed Hodge module and the irregular Hodge filtration2024 · 1 citations
2Mixed Hodge structures and Siegel operators2024
3On the monodromies at infinity of Fourier transforms of holonomic D-modules2024
4Topological Laplace Transform and Decomposition of nc-Hodge Structures2024
5Hodge structures on conformal blocks2024

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