On Mukai flops for Scorza varieties

Details On Mukai flops for Scorza varieties On Mukai flops for Scorza varieties

2006-01-30

arxiv.org/abs/math/0601734v1

Mathematics

Algebraic Geometry

35 p

Scientific paper

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.

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