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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Veröffentlicht in:Comptes rendus. Mathématique 2023-05, Vol.361 (G4), p.747-755
Hauptverfasser: Bockondas, Gloire Grâce, Boissière, Samuel
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1778-3569
1631-073X
1778-3569
DOI:10.5802/crmath.410