Cox rings of extremal rational elliptic surfaces

DOI10.1090/tran/6378zbMath1339.14022arXiv1302.4361OpenAlexW1683805643MaRDI QIDQ2787956

Alice Garbagnati, Michela Artebani, Antonio Laface

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.4361

zbMATH Keywords

rational elliptic surfacesCox rings

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Divisors, linear systems, invertible sheaves (14C20)

Related Items (5)

Computing Cox rings ⋮ Spherical blow-ups of Grassmannians and Mori dream spaces ⋮ Platonic Harbourne-Hirschowitz rational surfaces ⋮ Unnamed Item ⋮ Tropical Lagrangians in toric del-Pezzo surfaces

Uses Software

• Magma
• SINGULAR

Cites Work

• On images of Mori dream spaces
• Cox rings of surfaces and the anticanonical Iitaka dimension
• The Hesse pencil of plane cubic curves
• On Chow quotients of torus actions
• On extremal rational elliptic surfaces
• The Magma algebra system. I: The user language
• Del Pezzo and \(K3\) surfaces
• On compact analytic surfaces. III
• Elliptic Surfaces
• Anticanonical Rational Surfaces
• Cox Rings
• Singular del Pezzo surfaces whose universal torsors are hypersurfaces
• Three lectures on Cox rings
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