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On Mukai flops for Scorza varieties

Pierre-Emmanuel Chaput
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Abstract

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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Pierre-Emmanuel Chaput. 2006-01-30. On Mukai flops for Scorza varieties. https://arxiv.org/abs/math/0601734

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