Algebraic degeneracy of non-Archimedean analytic maps

DOI10.1016/S0019-3577(08)80014-6zbMath1175.32012OpenAlexW2029238867MaRDI QIDQ2270515

William Cherry, Ta Thi Hoai An, Julie Tzu-Yueh Wang

Publication date: 28 July 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(08)80014-6

zbMATH Keywords

Albanese mapNéron-Severi groupalgebraic degeneracyrigid analytic manifold

Mathematics Subject Classification ID

Rigid analytic geometry (14G22) Picard-type theorems and generalizations for several complex variables (32H25) Non-Archimedean analysis (32P05)

Related Items (7)

Non-Archimedean entire curves in closed subvarieties of semi-abelian varieties ⋮ Hyperbolicity notions for varieties defined over a non-Archimedean field ⋮ Big Picard theorem for jet differentials and non-Archimedean Ax-Lindemann theorem ⋮ The Lang–Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties ⋮ Non-Archimedean hyperbolicity and applications ⋮ Supplement and Erratum to ``Algebraic degeneracy of non-Archimedean analytic maps ⋮ Generalizations of rigid analytic Picard theorems

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• A defect relation for non-Archimedean analytic curves in arbitrary projective varieties
• Rigid analytic Picard theorems
• Théorie nouvelle des familles complexes normales. Applications à l'étude des fonctions algébroïdes

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