QUADRO-QUADRIC CREMONA MAPS AND VARIETIES 3-CONNECTED BY CUBICS: SEMI-SIMPLE PART AND RADICAL

DOI10.1142/S0129167X1350105XzbMath1311.14017OpenAlexW2106150856MaRDI QIDQ5397556

Francesco Russo, Luc Pirio

Publication date: 24 February 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x1350105x

zbMATH Keywords

birational automorphismJordan algebraCremona transformationrationally connected varieties

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Rationally connected varieties (14M22) Associated manifolds of Jordan algebras (17C36)

Related Items (5)

The \textit{XJC}-correspondence ⋮ Degree growth of rational maps induced from algebraic structures ⋮ A Jordan algebra approach to the cubic eiconal equation ⋮ Examples of special quadratic birational transformations into complete intersections of quadrics ⋮ Exceptional algebraic webs

Cites Work

• Varieties \(n\)-covered by curves of degree \(\delta\)
• On the classification of OADP varieties
• Jordan pairs
• Special prehomogeneous vector spaces associated to \(F_{4}\), \(E_{6}\), \(E_{7}\), \(E_{8}\) and simple Jordan algebras of rank 3.
• The sextonions and \(E_{7\frac12}\)
• The Wedderburn principal theorem for Jordan algebras
• Sur les vari\'et\'es X dans P^N telles que par n points passe une courbe de X de degr\'e donn\'e
• SEXTONIONS AND THE MAGIC SQUARE

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