Holonomic $\mathcal{D}$-modules with Betti structure

Holonomic

𝒟

-modules with Betti structure
[

𝒟

-modules holonomes munis d’une structure de Betti]

Mochizuki, Takuro

Mémoires de la Société Mathématique de France, no. 138-139 (2014) , 213 p.

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Résumé
Abstract

Nous définissons la notion de structure Betti pour les $𝒟$ -modules holonomes qui ne sont pas nécessairement singuliers réguliers. Nous établissons leurs propriétés fonctorielles principales. Nous donnons également une analyse supplémentaire des fonctions holomorphes de divers types sur l’éclatement réel.

We define the notion of Betti structure for holonomic $𝒟$ -modules which are not necessarily regular singular. We establish the fundamental functorial properties. We also give auxiliary analysis of holomorphic functions of various types on the real blow up.

MR Zbl | 2 citations dans Numdam

DOI : 10.24033/msmf.448

Classification : 14F10, 32C38
Keywords: holonomic D-modules, Betti structure, Stokes structure
Mot clés : D-modules holonomiques, structure de Betti, structure de Stokes

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     author = {Mochizuki, Takuro},
     title = {Holonomic $\mathcal{D}$-modules with {Betti} structure},
     series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {138-139},
     year = {2014},
     doi = {10.24033/msmf.448},
     mrnumber = {3306892},
     zbl = {1327.14006},
     language = {en},
     url = {http://archive.numdam.org/item/MSMF_2014_2_138-139__1_0/}
}

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Mochizuki, Takuro. Holonomic $\mathcal{D}$-modules with Betti structure. Mémoires de la Société Mathématique de France, Série 2, no. 138-139 (2014), 213 p. doi : 10.24033/msmf.448. http://numdam.org/item/MSMF_2014_2_138-139__1_0/

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