$ \mathcal{D}$-modules on the complex projective space $ {\mathbb{CP}}^{n-1}$ associated to a quadric

Philibert Nang

doi:10.1016/j.crma.2006.01.012

Mathematical Analysis

D

-modules on the complex projective space

{CP}^{n - 1}

associated to a quadric

Presented by: Jean-Michel Bony

Philibert Nang ¹

¹ Mathematics Section, ICTP, strada costiera 11, 34014 Trieste, Italy

Comptes Rendus. Mathématique, Volume 342 (2006) no. 6, pp. 387-392.

Abstract
Résumé

We give a combinatorial description of regular holonomic systems on the complex projective space ${CP}^{n - 1}$ with characteristic variety the union of the zero section and the conormal bundle of a smooth quadric (equivalently: those that admit an infinitesimal action of $PO (n)$ ).

Nous donnons une description combinatoire des systèmes holonômes réguliers sur l'espace projectif complexe ${CP}^{n - 1}$ dont la variété caractérisque est réunion de la section nulle et d'une quadrique lisse (de façon équivalente : ceux qui admettent une action infinitésimale de $PO (n)$ ).

Received: 2005-10-05
Accepted: 2006-01-17
Published online: 2006-02-15

DOI: 10.1016/j.crma.2006.01.012

Author's affiliations:

Philibert Nang ¹

¹ Mathematics Section, ICTP, strada costiera 11, 34014 Trieste, Italy

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     author = {Philibert Nang},
     title = {$ \mathcal{D}$-modules on the complex projective space $ {\mathbb{CP}}^{n-1}$ associated to a quadric},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {387--392},
     publisher = {Elsevier},
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     doi = {10.1016/j.crma.2006.01.012},
     language = {en},
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Philibert Nang. $ \mathcal{D}$-modules on the complex projective space $ {\mathbb{CP}}^{n-1}$ associated to a quadric. Comptes Rendus. Mathématique, Volume 342 (2006) no. 6, pp. 387-392. doi : 10.1016/j.crma.2006.01.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.01.012/

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Cited by Sources:

^⁎ Supported by the ICTP Research Fellowship.

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