On singular quadratic complexes, quintic curves and Cremona transformations

DOI10.1007/s12215-012-0086-2zbMath1264.14015OpenAlexW2033057287MaRDI QIDQ1758640

Dan Avritzer, Ivan Pan, Gérardo Gonzalez-Sprinberg

Publication date: 15 November 2012

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-012-0086-2

zbMATH Keywords

Cremona transformationsquintic curvessingular quadratic complexes

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Singularities of surfaces or higher-dimensional varieties (14J17) Special algebraic curves and curves of low genus (14H45) Rational and birational maps (14E05)

Related Items (1)

On cubic birational maps of $P^3_C$

Uses Software

• SINGULAR

Cites Work

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• On Cremona transformations and quadratic complexes
• Liaison des variétés algébriques. I
• On the Cremona transformations of bidegree (3,3)
• Moduli spaces of quadratic complexes and their singular surfaces
• Birational quadratic transformations of the three dimensional complex projective space

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