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On Orevkov's rational cuspidal plane curves

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Publication:431603
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DOI10.2969/jmsj/06420365zbMath1246.14044arXiv0909.2554OpenAlexW2062915986MaRDI QIDQ431603

Keita Tono

Publication date: 29 June 2012

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2554


zbMATH Keywords

cusprational plane curvelogarithmic Kodaira dimension


Mathematics Subject Classification ID

Plane and space curves (14H50)


Related Items (2)

Linear systems associated to unicuspidal rational plane curves ⋮ Complex planar curves homeomorphic to a line have at most four singular points



Cites Work

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  • The degree of rational cuspidal curves
  • \(\mathbb Q\)-homology planes with \(\mathbb C^{**}\)-fibrations
  • Absence of the affine lines on the homology planes of general type
  • Complements of plane curves with logarithmic Kodaira dimension zero
  • On the logarithmic plurigenera of complements of plane curves
  • On rational cuspidal curves. I: Sharp estimate for degree via multiplicities
  • Zariski Pairs of Index 19 and Mordell-Weil Groups of K 3 Surfaces




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