Abstract
For any
irreducible n-dimensional non-degenerate complex projective varieties
n-dimensional complex Jordan algebras
quadro-quadric Cremona transformations
These three equivalences form what we call the
We also provide some applications to the classification of particular types of varieties in the class defined above and of quadro-quadric Cremona transformations.
Funding statement: Both authors partially supported by P.R.A. of the University of Catania (Italy) and by G.R.I.F.G.A. during the preparation of the paper. The first author was also supported by the C.N.R.S. The second author is a member of the G.N.S.A.G.A. and he was also partially supported by P.R.I.N. “Geometria delle varietà algebriche”.
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