Triple lines on a cubic threefold
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.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-05-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.410/ |
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| author | Bockondas, Gloire Grâce Boissière, Samuel |
| author_facet | Bockondas, Gloire Grâce Boissière, Samuel |
| author_sort | Bockondas, Gloire Grâce |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3567fba904784c22a907072c45ebb59c |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-05-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-3567fba904784c22a907072c45ebb59c2025-02-07T11:07:37ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-05-01361G474775510.5802/crmath.41010.5802/crmath.410Triple lines on a cubic threefoldBockondas, Gloire Grâce0Boissière, Samuel1Département de Mathématiques, Université Marien Ngouabi, Brazzaville, CongoSamuel 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, FranceThe 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.410/ |
| spellingShingle | Bockondas, Gloire Grâce Boissière, Samuel Triple lines on a cubic threefold Comptes Rendus. Mathématique |
| title | Triple lines on a cubic threefold |
| title_full | Triple lines on a cubic threefold |
| title_fullStr | Triple lines on a cubic threefold |
| title_full_unstemmed | Triple lines on a cubic threefold |
| title_short | Triple lines on a cubic threefold |
| title_sort | triple lines on a cubic threefold |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.410/ |
| work_keys_str_mv | AT bockondasgloiregrace triplelinesonacubicthreefold AT boissieresamuel triplelinesonacubicthreefold |