A description of monodromic mixed Hodge modules
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Takahiro Saito
Abstract
For a smooth algebraic variety X, a monodromic D-module on
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: 20J00922
Funding statement: This work is supported by JSPS KAKENHI Grant Number 20J00922.
Acknowledgements
A part of this study was done while the author was visiting CMLS, École polytechnique from April to October 2018, whose hospitality is gratefully acknowledged. Another part was fruitfully conducted while he went to University of Tsukuba until March 2020. The author would like to express his sincere gratitude to Professor Claude Sabbah for suggesting the problem treated in this paper, having stimulating discussions and answering many questions. Moreover, the author would like to thank him for a careful reading of the manuscript and valuable suggestions. He would like to express appreciation to Professor Takuro Mochizuki for inspiring discussions and helpful advice. He wishes to thank Tatsuki Kuwagaki for fruitful conversations. His thanks go also to Yuichi Ike for answering his questions. He would like to thank Professor Kiyoshi Takeuchi for his constant encouragement. He also thanks the referee for useful comments.
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Articles in the same Issue
- Frontmatter
- Simultaneous supersingular reductions of CM elliptic curves
- Almost all entries in the character table of the symmetric group are multiples of any given prime
- K-stability of cubic fourfolds
- Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow
- A description of monodromic mixed Hodge modules
- The Lawson surfaces are determined by their symmetries and topology
- CMC hypersurfaces with bounded Morse index
- On Montgomery’s pair correlation conjecture: A tale of three integrals
- Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups
Articles in the same Issue
- Frontmatter
- Simultaneous supersingular reductions of CM elliptic curves
- Almost all entries in the character table of the symmetric group are multiples of any given prime
- K-stability of cubic fourfolds
- Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow
- A description of monodromic mixed Hodge modules
- The Lawson surfaces are determined by their symmetries and topology
- CMC hypersurfaces with bounded Morse index
- On Montgomery’s pair correlation conjecture: A tale of three integrals
- Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups
