Quadro-quadric Cremona transformations in low dimensions via the \(JC\)-correspondence

DOI10.5802/aif.2839zbMath1310.14021arXiv1204.0428OpenAlexW2963458542MaRDI QIDQ486741

Luc Pirio, Francesco Russo

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.0428

zbMATH Keywords

Jordan algebrascubo-cubic Cremona transformationsquadro-quadric Cremona transformations

Mathematics Subject Classification ID

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

Related Items

The \textit{XJC}-correspondence, Degree growth of rational maps induced from algebraic structures, Counting square-free monomial Cremona maps, Cremona transformations of \(\mathbb P^4\) coming from complete intersection of quadrics, Quadratic solutions of quadratic forms, BPS black hole entropy and attractors in very special geometry. Cubic forms, gradient maps and their inversion

Uses Software

• Macaulay2

Cites Work

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• Birational quadratic transformations of the three dimensional complex projective space
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