Comptes Rendus
Géométrie algébrique
Triple lines on a cubic threefold
Gloire Grâce Bockondas1  ; Samuel Boissière2
1 Département de Mathématiques, Université Marien Ngouabi, Brazzaville, Congo
2 Samuel Boissière, Laboratoire de Mathématiques et Applications, UMR 7348 du CNRS, Bâtiment H3, Boulevard Marie et Pierre Curie, Site du Futuroscope, TSA 61125, 86073 Poitiers Cedex 9, France
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 747-755.

The present paper deals with lines contained in a smooth complex cubic threefold. It is well-known that the set of lines of the second type on a cubic threefold is a curve on its Fano surface. Here we give a description of the singularities of this curve.

Reçu le :
Accepté le :
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DOI : 10.5802/crmath.410
Classification : 14J10, 14J29, 14H20
Gloire Grâce Bockondas 1 ; Samuel Boissière 2

1 Département de Mathématiques, Université Marien Ngouabi, Brazzaville, Congo
2 Samuel Boissière, Laboratoire de Mathématiques et Applications, UMR 7348 du CNRS, Bâtiment H3, Boulevard Marie et Pierre Curie, Site du Futuroscope, TSA 61125, 86073 Poitiers Cedex 9, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Gloire Grâce Bockondas; Samuel Boissière. Triple lines on a cubic threefold. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 747-755. doi : 10.5802/crmath.410. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.410/

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