Cremona transformations of plane configurations of 6 points

Authors

REMZİYE ARZU ZABUN

DOI

10.3906/mat-1807-6

Abstract

We analyze how a set of 6 points of $\Rp 2$ in general position changes under quadratic Cremona transformations based at triples of points of the given six. As an application, we give an alternative approach to determining the deformation types (i.e. icosahedral, bipartite, tripartite and hexagonal) of 36 real Schlafli double sixes on any nonsingular real cubic surface performed by Segre.

First Page

1837

Last Page

1849

Recommended Citation

ZABUN, REMZİYE ARZU (2019) "Cremona transformations of plane configurations of 6 points," Turkish Journal of Mathematics: Vol. 43: No. 4, Article 3. https://doi.org/10.3906/mat-1807-6
Available at: https://journals.tubitak.gov.tr/math/vol43/iss4/3