Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 4

Cremona transformations of plane configurations of 6 points

Sayfa
1837–1849
Yayın Tarihi
2019-08-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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.

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Bu Makaleye Atıf Yap

ZABUN, R. A. (2019). Cremona transformations of plane configurations of 6 points. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 1837–1849. https://ajindex.com/articles/208971

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