Elliptic curve configurations on Fano surfaces

DOI10.1007/s00229-009-0264-5zbMath1177.14079arXiv0804.1861OpenAlexW3102597355MaRDI QIDQ2391150

Xavier Roulleau

Publication date: 24 July 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1861

zbMATH Keywords

surfaces of general typecotangent sheafcubic threefold

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Fano varieties (14J45) Surfaces of general type (14J29) Hypersurfaces and algebraic geometry (14J70) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (7)

A Noether-Lefschetz theorem for varieties of r-planes in complete intersections ⋮ Measures of irrationality of the Fano surface of a cubic threefold ⋮ Generic injectivity of the Prym map for double ramified coverings ⋮ Quotients of Fano surfaces ⋮ Fano surfaces with 12 or 30 elliptic curves ⋮ On Fano Schemes of Complete Intersections ⋮ The Fano surface of the Fermat cubic threefold, the del Pezzo surface of degree $5$ and a ball quotient

Cites Work

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• On a Theorem of Bogomolov on Chern Classes of Stable Bundles
• Finite complex reflection groups
• Reflection groups in algebraic geometry
• ON THE FANO SURFACE OF A NONSINGULAR CUBIC INP⁴
• THE GEOMETRY OF THE FANO SURFACE OF A NONSINGULAR CUBIC $F\subset P^4$ AND TORELLI THEOREMS FOR FANO SURFACES AND CUBICS
• Unitary Groups Generated by Reflections
• Higher-dimensional algebraic geometry

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