The Coolidge-Nagata conjecture. I

DOI10.1016/j.aim.2014.07.038zbMath1327.14153arXiv1405.5917OpenAlexW2029770128WikidataQ122983934 ScholiaQ122983934MaRDI QIDQ462280

Karol Palka

Publication date: 20 October 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.5917

zbMATH Keywords

rational curveCremona transformationlog minimal model programCoolidge-Nagata conjecturecuspidal curve

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Plane and space curves (14H50) Singularities of surfaces or higher-dimensional varieties (14J17)

Related Items (5)

Rational cuspidal curves in projective surfaces. Topological versus algebraic obstructions ⋮ Singularities. Abstracts from the workshop held September 26 -- October 2, 2021 (hybrid meeting) ⋮ Cuspidal curves, minimal models and Zaidenberg's finiteness conjecture ⋮ Complex planar curves homeomorphic to a line have at most four singular points ⋮ Heegaard Floer Homologies and Rational Cuspidal Curves. Lecture notes.

Cites Work

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• Cuspidal curves, minimal models and Zaidenberg's finiteness conjecture
• Curves with negative self intersection on rational surfaces
• On rigid rational cuspidal plane curves
• On rational surfaces I. Irreducible curves of arithmetic genus $0$ or $1$
• LOGARITHMIC ORBIFOLD EULER NUMBERS OF SURFACES WITH APPLICATIONS
• Open Algebraic Surfaces

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