Special Linear Systems on Curves Lying on a K 3 Surface

DOI10.1112/jlms/s2-13.3.454zbMath0339.14021OpenAlexW2058732874MaRDI QIDQ4106329

Miles Reid

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-13.3.454

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Divisors, linear systems, invertible sheaves (14C20) Compact complex surfaces (32J15) Special surfaces (14J25)

Related Items (17)

Extension of morphisms defined on a divisor ⋮ Global sections of twisted normal bundles of \(K3\) surfaces and their hyperplane sections ⋮ Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic ⋮ Non-\(\mathrm{K}3\) Weierstrass numerical semigroups ⋮ Pointed curves on \(K3\) surfaces which are double covers of rational elliptic surfaces ⋮ Deformations and Extensions of Gorenstein Weighted Projective Spaces ⋮ On curves on \(K3\) surfaces: III ⋮ An example of a polarized \(K3\) surface with elliptic free Clifford divisors ⋮ Surfaces of degree \(d\) with sectional genus \(g\) in \(\mathbb{P}^{d+1-g}\) and deformations of cones ⋮ Tetragonal curves, scrolls and 𝐾3 surfaces ⋮ Special divisors on curves on \(K3\) surfaces carrying an Enriques involution ⋮ Hyperplane sections of Calabi-Yau varieties ⋮ Special divisors on curves on a K3 surface ⋮ Weierstrass \(n\)-semigroups with even \(n\) and curves on toric surfaces ⋮ Brill-Noether theory of curves on Enriques surfaces. I: The positive cone and gonality ⋮ Exceptional linear systems on curves on Del Pezzo surfaces ⋮ The Clifford index of line bundles on a 2-elementary \(K3\) surface given by a double cover of a del Pezzo surface

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