Good reduction of Fano threefolds and sextic surfaces

DOI10.2422/2036-2145.201601_005zbMath1412.11080arXiv1512.07189OpenAlexW2963646467MaRDI QIDQ4571189

Ariyan Javanpeykar, Daniel Loughran

Publication date: 6 July 2018

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07189

zbMATH Keywords

abelian varietiesFano threefoldsShafarevich conjecture

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Varieties over global fields (11G35) Fano varieties (14J45) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Stacks and moduli problems (14D23) Torelli problem (14C34)

Related Items (12)

Hyperbolicity of the moduli of certain Fano threefolds ⋮ Urata's theorem in the logarithmic case and applications to integral points ⋮ Kuznetsov's Fano threefold conjecture via \(K3\) categories and enhanced group actions ⋮ GOOD REDUCTION AND CYCLIC COVERS ⋮ Integral points on algebraic subvarieties of period domains: from number fields to finitely generated fields ⋮ Boundedness in families with applications to arithmetic hyperbolicity ⋮ The Lang–Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties ⋮ Arithmetic hyperbolicity: automorphisms and persistence ⋮ Brody hyperbolicity of base spaces of certain families of varieties ⋮ On the Shafarevich conjecture for Enriques surfaces ⋮ Finiteness of polarized \(K3\) surfaces and hyperkähler manifolds ⋮ Arithmetic hyperbolicity and a stacky Chevalley–Weil theorem

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