On Mukai flops for Scorza varieties

Pierre-Emmanuel Chaput (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

I give three descriptions of the Mukai flop of type $E_{6,I}$, one in terms of Jordan algebras, one in terms of projective geometry over the octonions, and one in terms of O-blow-ups. Each description shows that it is very similar to certain flops of type $A$. The Mukai flop of type $E_{6,II}$ is also described.

Mots clés: Mukai flop; Jordan algebras; projective geometry

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

Pierre-Emmanuel Chaput. On Mukai flops for Scorza varieties. 2006. ⟨hal-00018179⟩