Triple lines and Eckardt points on a cubic threefold

par Grâce Bockondas (Université de Neuchâtel)

jeudi 7 mai 2026, 14:00 → 15:00 Europe/Paris

The variety that parametrizes the lines on a smooth cubic threefold
is a smooth surface of general type known as the Fano surface. Among these
lines, those of the second type are of particular interest: their locus in the
associated Fano surface is an algebraic curve whose study goes back to Murre’s work in 1972. In this talk, we will investigate the role of triple lines in the geometry of this curve and explore the relationships between these lines and Eckardt points.