Bordiga surface

In algebraic geometry, a Bordiga surface is a certain sort of rational surface of degree 6 in P⁴, introduced by Giovanni Bordiga.

A Bordiga surface is isomorphic to the projective plane blown up in 10 points, the embedding into P⁴ is given by the 5-dimensional space of quartics passing through the 10 points. White surfaces are the generalizations using more points.

References

• Beauville, Arnaud (1996), Complex algebraic surfaces, London Mathematical Society Student Texts, vol. 34 (2nd ed.), Cambridge University Press, ISBN 978-0-521-49510-3, MR 1406314

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This page was last edited on 4 May 2023, at 13:37