Elliptic fibrations on cubic surfaces

DOI10.1016/j.jpaa.2009.06.014zbMath1197.14045arXiv0807.0696OpenAlexW1964862763MaRDI QIDQ2655014

Daniel Ryder, Gavin D. Brown

Publication date: 22 January 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.0696

zbMATH Keywords

elliptic fibrationsdel Pezzo surfaces

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Computational aspects of algebraic surfaces (14Q10) Rational and birational maps (14E05) Fano varieties (14J45)

Uses Software

• Magma

Cites Work

• Adjoint computation for hypersurfaces using formal desingularizations
• The Magma algebra system. I: The user language
• Log models of birationally rigid varieties
• 3-fold log models
• Birational rigidity of Fano hypersurfaces in the framework of Mori theory
• The curve exclusion theorem for elliptic and K3 fibrations birational to Fano 3-fold hypersurfaces
• On the density of rational points on elliptic fibrations
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