Quotients of Fano surfaces

DOI10.4171/RLM/631zbMath1252.14023arXiv1103.4724MaRDI QIDQ713970

Xavier Roulleau

Publication date: 19 October 2012

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4724

zbMATH Keywords

surfaces of general typequotient singularitiescubic threefoldFano surfaceintersection theory on normal surfaces

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Singularities of surfaces or higher-dimensional varieties (14J17) Surfaces of general type (14J29) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Cites Work

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• Automorphisms of prime order of smooth cubic \(n\)-folds
• The Fano surface of the Klein cubic threefold
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Canonical surfaces with pg=pa=4 and \(K^ 2=\)5,\dots ,10
• Variations on a theorem of Abel
• Algebraic surfaces of general type with small \(c^2_1\). II
• Certain algebraic surfaces of general type with irregularity one and their canonical mappings
• Fano surfaces with 12 or 30 elliptic curves
• Elliptic curve configurations on Fano surfaces
• The intermediate Jacobian of the cubic threefold
• The double cover of cubic surfaces branched along their Hessian
• Genus 2 curve configurations on Fano surfaces
• Cubic Surfaces and Cubic Threefolds, Jacobians and Intermediate Jacobians
• 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

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