Quelques remarques sur les courbes de genre 5

الأصل · EN

In this article we study genus 5 curves with a fixed point free involution. We give two geometrical caracterisations of these curves amoung all genus 5 curves. One of these was conjectured by Arbarello, Cornalba, Griffiths and Harris in their book on curves. The second one is given by some particular embeddings corresponding to the points of the Prym variety associated to the situation.