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arxiv: math/0601734 · v1 · submitted 2006-01-30 · 🧮 math.AG · math.RT

On Mukai flops for Scorza varieties

classification 🧮 math.AG math.RT
keywords mukaitermstypeflopflopsalgebrascertaindescribed
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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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