Modernity of Halphen's variations on a theme of Monge

Caroline Gruson (1) , Laurent Gruson (2)

1 IECL - Institut Élie Cartan de Lorraine
2 LMV - Laboratoire de Mathématiques de Versailles

We construct a Z_3-slice to the natural action of PGL(V) on the variety of smooth arcs in the projective space P(V).

Domaines: Géométrie algébrique [math.AG]; Théorie des représentations [math.RT]

Caroline Gruson, Laurent Gruson. Modernity of Halphen's variations on a theme of Monge. Rendiconti del Circolo Matematico di Palermo, 2017, 66 (1), pp.83-95. ⟨10.1007/s12215-016-0268-4⟩. ⟨hal-01273861⟩