Triple lines on a cubic threefold

Gloire Grâce Bockondas; Samuel Boissière

doi:10.5802/crmath.410

Algebraic geometry

Triple lines on a cubic threefold

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

Comptes Rendus. Mathématique, Volume 361 (2023), pp. 747-755.

Abstract

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.

Received: 2022-02-03
Accepted: 2022-07-30
Published online: 2023-05-11

DOI: 10.5802/crmath.410

Classification: 14J10, 14J29, 14H20

Author's affiliations:

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

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     title = {Triple lines on a cubic threefold},
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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/

References
Cited by

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