[La filtration de Hodge d’un module de Hodge mixte monodromique et la filtration de Hodge irrégulière]
Pour un fibré vectoriel algébrique
For an algebraic vector bundle
Révisé le :
Accepté le :
Première publication :
Publié le :
DOI : 10.5802/aif.3629
Keywords:
Mots-clés :
Saito, Takahiro 1

@article{AIF_2024__74_4_1603_0, author = {Saito, Takahiro}, title = {The {Hodge} filtration of a monodromic mixed {Hodge} module and the irregular {Hodge} filtration}, journal = {Annales de l'Institut Fourier}, pages = {1603--1670}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {74}, number = {4}, year = {2024}, doi = {10.5802/aif.3629}, mrnumber = {4770351}, zbl = {07877220}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3629/} }
TY - JOUR AU - Saito, Takahiro TI - The Hodge filtration of a monodromic mixed Hodge module and the irregular Hodge filtration JO - Annales de l'Institut Fourier PY - 2024 SP - 1603 EP - 1670 VL - 74 IS - 4 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3629/ DO - 10.5802/aif.3629 LA - en ID - AIF_2024__74_4_1603_0 ER -
%0 Journal Article %A Saito, Takahiro %T The Hodge filtration of a monodromic mixed Hodge module and the irregular Hodge filtration %J Annales de l'Institut Fourier %D 2024 %P 1603-1670 %V 74 %N 4 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3629/ %R 10.5802/aif.3629 %G en %F AIF_2024__74_4_1603_0
Saito, Takahiro. The Hodge filtration of a monodromic mixed Hodge module and the irregular Hodge filtration. Annales de l'Institut Fourier, Tome 74 (2024) no. 4, pp. 1603-1670. doi : 10.5802/aif.3629. https://aif.centre-mersenne.org/articles/10.5802/aif.3629/
[1] How to glue perverse sheaves,
[2] Transformations canoniques, dualité projective, théorie de Lefschetz, transformations de Fourier et sommes trigonométriques, Géométrie et analyse microlocales (Astérisque), Société Mathématique de France, 1986 no. 140-141, pp. 3-134 | Numdam | MR | Zbl
[3] Examples of hypergeometric twistor
[4] On V-filtration, Hodge filtration and Fourier transform (2021) | arXiv
[5] Théorie de Hodge irrégulière (mars 1984 & août 2006), Singularités irrégulières, Correspondance et documents, Documents mathématiques, Volume 5, Société Mathématique de France, 2007, p. 109-114 & 115–-128
[6]
[7]
[8] Mixed twistor
[9] Rescalability of integrable mixed twistor
[10] Beilinson’s construction of nearby cycles and gluing, available at http://perso.ens-lyon.fr/sophie.morel/gluing.pdf
[11] Notes on Beilinson’s “How to glue perverse sheaves”, J. Singul., Volume 1 (2010), pp. 94-115 | DOI | MR | Zbl
[12] Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules, Compos. Math., Volume 150 (2014) no. 6, pp. 911-941 | DOI | MR | Zbl
[13] Weight filtrations on GKZ-systems (2018) | arXiv
[14] The Fourier–Laplace transform of irreducible regular differential systems on the Riemann sphere, Usp. Mat. Nauk, Volume 59 (2004) no. 6(360), pp. 161-176 | DOI | MR
[15] Polarizable twistor
[16] Monodromy at infinity and Fourier transform. II, Publ. Res. Inst. Math. Sci., Volume 42 (2006) no. 3, pp. 803-835 | DOI | MR | Zbl
[17] Fourier-Laplace transform of a variation of polarized complex Hodge structure, J. Reine Angew. Math., Volume 621 (2008), pp. 123-158 | DOI | MR | Zbl
[18] Fourier–Laplace transform of a variation of polarized complex Hodge structure, II, New developments in algebraic geometry, integrable systems and mirror symmetry (RIMS, Kyoto, 2008) (Advanced Studies in Pure Mathematics), Volume 59, Mathematical Society of Japan, 2010, pp. 289-347 | DOI | Zbl
[19] Irregular Hodge theory. With the collaboration of Jeng-Daw Yu, Mém. Soc. Math. Fr., Nouv. Sér. (2018) no. 156, pp. 1-126 | DOI | MR | Zbl
[20] The MHM Project, available at http://www.cmls.polytechnique.fr/perso/sabbah/MHMProject/mhm.html
[21] On the irregular Hodge filtration of exponentially twisted mixed Hodge modules, Forum Math. Sigma, Volume 3 (2015), e9, 71 pages | DOI | MR | Zbl
[22] Modules de Hodge polarisables, Publ. Res. Inst. Math. Sci., Volume 24 (1988) no. 6, pp. 849-995 | DOI | MR | Zbl
[23] Mixed Hodge modules, Publ. Res. Inst. Math. Sci., Volume 26 (1990) no. 2, pp. 221-333 | DOI | MR | Zbl
[24] A description of monodromic mixed Hodge modules, J. Reine Angew. Math., Volume 786 (2022), pp. 107-153 | DOI | MR | Zbl
[25] An overview of Morihiko Saito’s theory of mixed Hodge modules (2014) | arXiv
[26] Mixed twistor structures (1997) | arXiv
[27] Irregular Hodge filtration on twisted de Rham cohomology, Manuscr. Math., Volume 144 (2014) no. 1-2, pp. 99-133 | DOI | MR | Zbl
Cité par Sources :