no. G5
Géométrie algébrique
Note on absolute sets of rigid local systems
Budur, Nero1, 2 ; Lerer, Leonardo A.3  ; Wang, Haopeng1
1 Department of Mathematics, KU Leuven, Celestijnenlaan 200B, 3001 Leuven, Belgium
2 BCAM, Mazarredo 14, 48009 Bilbao, Spain
3 Département de Mathématiques d’Orsay, Université Paris-Saclay, F-91405 Orsay, France
Comptes Rendus. Mathématique, Tome 360 (2022) no. G5, 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.

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

1 Department of Mathematics, KU Leuven, Celestijnenlaan 200B, 3001 Leuven, Belgium
2 BCAM, Mazarredo 14, 48009 Bilbao, Spain
3 Département de Mathématiques d’Orsay, Université Paris-Saclay, F-91405 Orsay, France 
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Budur, Nero; Lerer, Leonardo A.; Wang, Haopeng. Note on absolute sets of rigid local systems. Comptes Rendus. Mathématique, Tome 360 (2022) no. G5, pp. 467-474. doi : 10.5802/crmath.315. http://www.numdam.org/articles/10.5802/crmath.315/

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