Note on absolute sets of rigid local systems

Nero Budur; Leonardo A. Lerer; Haopeng Wang

doi:10.5802/crmath.315

Algebraic geometry

Note on absolute sets of rigid local systems

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

Comptes Rendus. Mathématique, Volume 360 (2022), pp. 467-474.

Abstract

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.

Received: 2021-04-13
Accepted: 2021-12-09
Published online: 2022-05-23

DOI: 10.5802/crmath.315

Classification: 14M35, 32S40

Author's affiliations:

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

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Nero Budur and Leonardo A. Lerer and Haopeng Wang},
     title = {Note on absolute sets of rigid local systems},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {467--474},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {360},
     year = {2022},
     doi = {10.5802/crmath.315},
     language = {en},
}

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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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