Rational curves and Seshadri constants on Enriques surfaces

DOI10.1090/proc/16766zbMATH Open1546.14067MaRDI QIDQ6566369

Andreas Leopold Knutsen, Concettina Galati

Publication date: 3 July 2024

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

zbMATH Keywords

rational curvesSeshadri constantsEnriques surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Fibrations, degenerations in algebraic geometry (14D06) Divisors, linear systems, invertible sheaves (14C20) Singularities of curves, local rings (14H20)

Cites Work

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• On the Picard group of Enriques surfaces
• On the Noether-Lefschetz theorem and some remarks on codimension-two cycles
• A new proof of the global Torelli theorem for K3 surfaces
• Brill-Noether theory of curves on Enriques surfaces. I: The positive cone and gonality
• Enriques surfaces. I
• Seshadri constants on algebraic surfaces
• On moduli spaces of polarized Enriques surfaces
• Degenerating curves and surfaces: first results
• Projective normality and the generation of the ideal of an Enriques surface
• Irreducible unirational and uniruled components of moduli spaces of polarized Enriques surfaces
• On positivity of line bundles on Enriques surfaces
• Limits of Pluri–Tangent Planes to Quartic Surfaces
• On \(k\)th-order embeddings of \(K3\) surfaces and Enriques surfaces
• Singular rational curves on elliptic K3 surfaces
• Nonemptiness of severi varieties on enriques surfaces

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