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On Mukai flops for Scorza varieties

Algebraic Geometry 2007-05-23 v1 Representation Theory

Abstract

I give three descriptions of the Mukai flop of type E_6,IE\_{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 AA. The Mukai flop of type E_6,IIE\_{6,II} is also described.

Cite

@article{arxiv.math/0601734,
  title  = {On Mukai flops for Scorza varieties},
  author = {Pierre-Emmanuel Chaput},
  journal= {arXiv preprint arXiv:math/0601734},
  year   = {2007}
}

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35 p