A sharp vanishing theorem for line bundles on K3 or Enriques surfaces

DOI10.1090/S0002-9939-07-08968-XzbMath1121.14033arXivmath/0610068OpenAlexW2061785680WikidataQ60143210 ScholiaQ60143210MaRDI QIDQ5308114

Andreas Leopold Knutsen, Angelo Felice Lopez

Publication date: 27 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0610068

zbMATH Keywords

\(K3\) surfaceline bundlevanishing theoremEnriques surface

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) (K3) surfaces and Enriques surfaces (14J28) Divisors, linear systems, invertible sheaves (14C20)

Related Items (13)

Cox rings of \(K3\) surfaces with Picard number 2 ⋮ Obstructions to deforming curves on a 3-fold, III: Deformations of curves lying on a K3 surface ⋮ Irreducible unirational and uniruled components of moduli spaces of polarized Enriques surfaces ⋮ Cox rings of \(K3\) surfaces of Picard number three ⋮ Unnamed Item ⋮ On moduli spaces of polarized Enriques surfaces ⋮ Obstructions to deforming curves on an Enriques-Fano 3-fold ⋮ Brill-Noether general \(K3\) surfaces with the maximal number of elliptic pencils of minimal degree ⋮ Bott vanishing for algebraic surfaces ⋮ Brill-Noether theory of curves on Enriques surfaces. I: The positive cone and gonality ⋮ Moduli of curves on Enriques surfaces ⋮ ON TWO CONJECTURES FOR CURVES ON K3 SURFACES ⋮ Brill-Noether theory of curves on Enriques surfaces. II: The Clifford index

Cites Work

• Unnamed Item
• On the extendability of projective surfaces and a genus bound for Enriques-Fano threefolds
• Brill-Noether theory of curves on Enriques surfaces. I: The positive cone and gonality
• A generalization of Kodaira-Ramanujam's vanishing theorem
• Projective models of Enriques surfaces
• Enriques surfaces. I
• \(K3\) projective models in scrolls
• Vanishing theorems.
• Projective Models of K - 3 Surfaces
• Surjectivity of Gaussian maps for curves on Enriques surfaces

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