Comptes Rendus
no. 6
Algebraic geometry
Connections and restrictions to curves
[Connexions et restrictions aux courbes]

Présenté par : Claire Voisin

Indranil Biswas1, 2 ; Sudarshan Gurjar3
1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
2 Mathematics Department, EISTI–University Paris-Seine, Avenue du parc, 95000, Cergy-Pontoise, France
3 Department of Mathematics, Indian Institute of Technology, Mumbai 400076, India
Comptes Rendus. Mathématique, Volume 356 (2018) no. 6, pp. 674-678.

Nous construisons un fibré vectoriel E sur une surface complexe lisse X tel que la restriction de E à toute courbe lisse fermée contenue dans X admet une connexion algébrique, sans que E lui-même admette une telle connexion algébrique.

We construct a vector bundle E on a smooth complex projective surface X with the property that the restriction of E to any smooth closed curve in X admits an algebraic connection while E does not admit any algebraic connection.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crma.2018.05.004
Indranil Biswas 1, 2 ; Sudarshan Gurjar 3

1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
2 Mathematics Department, EISTI–University Paris-Seine, Avenue du parc, 95000, Cergy-Pontoise, France
3 Department of Mathematics, Indian Institute of Technology, Mumbai 400076, India 
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Indranil Biswas; Sudarshan Gurjar. Connections and restrictions to curves. Comptes Rendus. Mathématique, Volume 356 (2018) no. 6, pp. 674-678. doi : 10.1016/j.crma.2018.05.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.05.004/

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