Lattices, Diophantine equations and applications to rational surfaces

DOI10.1007/s11425-012-4374-2zbMath1316.14067OpenAlexW2259922222MaRDI QIDQ2392943

Jiajin Zhang, Mang Xu

Publication date: 5 August 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4374-2

zbMATH Keywords

rational surfacePicard latticequasi-minuscule representation

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (1)

Some lower bounds for the canonical volume of 3-folds of general type

Cites Work

• Root systems and elliptic curves
• Principal bundles on elliptic fibrations
• Families of \(K3\) surfaces over curves reaching the Arakelov-Yau type upper bounds and modularity
• Rational surfaces with an anti-canonical cycle
• On unimodular integral quadratic forms
• Moduli of bundles over rational surfaces and elliptic curves I: Simply laced cases
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• A complex ball uniformization of the moduli space of cubic surfaces via periods ofK3 surfaces
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