Counting lines and conics on a surface

DOI10.2977/prims/1249478969zbMath1185.14050OpenAlexW592250703MaRDI QIDQ1035850

Yoichi Miyaoka

Publication date: 4 November 2009

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1249478969

zbMATH Keywords

elliptic curvesrational curvesprojective surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Surfaces of general type (14J29) Classical problems, Schubert calculus (14N15)

Related Items (5)

CONICS IN SEXTIC -SURFACES IN ⋮ Counting lines on projective surfaces ⋮ 24 Rational curves on K3 surfaces ⋮ A remark on the intersection of plane curves ⋮ 64 lines on smooth quartic surfaces

Cites Work

• The orbibundle Miyaoka-Yau-Sakai inequality and an effective Bogomolov-McQuillan theorem
• The maximal number of quotient singularities on surfaces with given numerical invariants
• Three-divisible families of skew lines on a smooth projective quintic
• Projective surfaces with many skew lines
• On Arithmetical Properties of Quartic Surfaces
• THE MAXIMUM NUMBER OF LINES LYING ON A QUARTIC SURFACE
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