Comptes Rendus
Géométrie algébrique
Note on absolute sets of rigid local systems
Comptes Rendus. Mathématique, Volume 360 (2022), pp. 467-474.

In this note we give a description up to a quasi-finite morphism of the absolute sets of simple cohomologically rigid local systems on a smooth complex quasi-projective algebraic variety. In dimension one or rank two, this proves a conjecture of Budur–Wang on the structure of these sets.

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DOI : 10.5802/crmath.315
Classification : 14M35, 32S40
Nero Budur 1, 2 ; Leonardo A. Lerer 3 ; Haopeng Wang 2

1 BCAM, Mazarredo 14, 48009 Bilbao, Spain
2 Department of Mathematics, KU Leuven, Celestijnenlaan 200B, 3001 Leuven, Belgium
3 Département de Mathématiques d’Orsay, Université Paris-Saclay, F-91405 Orsay, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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Nero Budur; Leonardo A. Lerer; Haopeng Wang. Note on absolute sets of rigid local systems. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 467-474. doi : 10.5802/crmath.315. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.315/

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[2] Nero Budur; Leonardo A. Lerer; Haopeng Wang Absolute sets of rigid local systems (2021) (https://arxiv.org/abs/2104.00168v1)

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