On Mukai flops for Scorza varieties

2006/01/30 by Pierre-Emmanuel Chaput, Chaput, Pierre-Emmanuel
Mathematics · Physics and Astronomy · #14L35 #14L40 #14N99 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.AG #math.RT #msc:14L35 #msc:14L40 #msc:14N99

paper · pdf · doi:10.48550/arxiv.math/0601734

35 p

arxiv created 2006/01/30 · openalex publication_date 2006/01/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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