no. G4
Géométrie algébrique
Triple lines on a cubic threefold
Bockondas, Gloire Grâce1  ; Boissière, Samuel2
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, Tome 361 (2023) no. G4, 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 :
Publié le :
DOI : 10.5802/crmath.410
Classification : 14J10, 14J29, 14H20

Bockondas, Gloire Grâce 1 ; Boissière, Samuel 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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Bockondas, Gloire Grâce; Boissière, Samuel. Triple lines on a cubic threefold. Comptes Rendus. Mathématique, Tome 361 (2023) no. G4, pp. 747-755. doi: 10.5802/crmath.410

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