Algebraic hyperbolicity for surfaces in smooth projective toric threefolds with Picard rank 2 and 3

DOI10.1007/s13366-021-00612-0OpenAlexW4206501566MaRDI QIDQ2689450

Sharon Robins

Publication date: 10 March 2023

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.07577

zbMATH Keywords

surfacesalgebraic hyperbolicitytoric threefolds

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Families, moduli of curves (algebraic) (14H10) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Hypersurfaces and algebraic geometry (14J70)

Related Items (1)

Integer decomposition property of polytopes

Cites Work

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• On the hyperbolicity of general hypersurfaces
• Subvarieties of generic hypersurfaces in a nonsingular projective toric variety
• A classification of toric varieties with few generators
• Smooth toric varieties with small Picard number are projective
• On the classification of smooth projective toric varieties
• Subvarieties of general hypersurfaces in projective space
• Demailly's notion of algebraic hyperbolicity: geometricity, boundedness, moduli of maps
• Algebraic hyperbolicity of the very general quintic surface in \(\mathbb{P}^3\)
• The Noether-Lefschetz theorem for the divisor class group
• Hyperbolic and Diophantine analysis

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