The virtual singularity theorem and the logarithmic bigenus theorem

DOI10.2748/tmj/1178229593zbMath0509.14037OpenAlexW2040891523MaRDI QIDQ1838543

Shigeru Iitaka

Publication date: 1980

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229593

zbMATH Keywords

logarithmic Kodaira dimensionvirtual singularity theoremcomplement of effective divisorlogarithmic bigenusnonsingular irrational ruled surface

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Families, moduli, classification: algebraic theory (14J10) Divisors, linear systems, invertible sheaves (14C20)

Related Items (2)

On Veys' conjecture. ⋮ On the logarithmic plurigenera of complements of plane curves

Cites Work

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• On plane rational curves
• On logarithmic K3 surfaces
• Geometry on complements of lines in \(\mathbb{P}^2\)
• On the logarithmic Kodaira dimension of the complement of a curve in \(P^2\)
• On Kodaira dimension of graphs
• On the Diophantine equation ϕ(X, Y) = ϕ(x, y).
• A numerical criterion of quasi-abelian surfaces

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