Every Curve of Genus not Greater Than Eight Lies on a K3 Surface

DOI10.1017/S0027763000009600zbMath1140.14305MaRDI QIDQ3516804

Manabu Ide

Publication date: 11 August 2008

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1214229082

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Special algebraic curves and curves of low genus (14H45) Divisors, linear systems, invertible sheaves (14C20)

Related Items (6)

Uniruledness of strata of holomorphic differentials in small genus ⋮ Non-\(\mathrm{K}3\) Weierstrass numerical semigroups ⋮ Pointed curves on \(K3\) surfaces which are double covers of rational elliptic surfaces ⋮ On the Extendability of Projective Varieties: A Survey ⋮ Maximal gonality on strata of differentials and uniruledness of strata in low genus ⋮ Canonical curves of genus eight

Cites Work

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• Syzygies of canonical curves and special linear series
• The Jacobian algebra of a graded Gorenstein singularity
• Curves and symmetric spaces
• Canonical curves of genus eight
• Chapters on algebraic surfaces
• Curves and Symmetric Spaces, I

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