Néron models - MaRDI portal

DOI10.1007/s40879-017-0134-8zbMath1396.14038OpenAlexW3188408157MaRDI QIDQ1677169

Publication date: 10 November 2017

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-017-0134-8

zbMATH Keywords

Jacobian abelian variety elliptic curve Néron model group scheme semi-stable reduction group of components weak Néron model

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15) Group schemes (14L15)

Related Items (2)

Purely additive reduction of abelian varieties with torsion ⋮ Torsion and twists of abelian varieties

Cites Work

Torsion and Tamagawa numbers
Purity results for $p$-divisible groups and Abelian schemes over regular bases of mixed characteristic
Grothendieck's pairing on Néron component groups: Galois descent from the semistable case
Wild monodromy and automorphisms of curves
Very strong approximation for certain algebraic varieties
Néron models and base change
Grothendieck's pairing for Jacobians and base change
Miscellany on traces in $\ell$-adic cohomology: a survey
Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
There are no abelian varieties over $\mathbb Z$.
Duality theorems for Néron models
Minimal resolution and stable reduction of $X_ 0(N)$
One-dimensional affine group schemes
The Neron fiber of Abelian varieties with potential good reduction
On the failure of semistability of elliptic curves with additive reduction
Rational points of the group of components of a Néron model
Néron models in the setting of formal and rigid geometry
Component groups of abelian varieties and Grothendieck's duality conjecture
$J_1(p)$ has connected fibers
Elliptic fibers over non-perfect residue fields.
Motivic integration on smooth rigid varieties and invariants of degenerations
Unipotent groups and curves of genus two
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Néron models of Jacobians over base schemes of dimension greater than 1
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Degree of an extension of $\mathbb{Q}_ p^{\text{nr}}$ on which $J_ 0 (N)$ is semi-stable
Néron models, Lie algebras, and reduction of curves of genus one
Semistable reduction and torsion subgroups of abelian varieties
Néron's pairing and relative algebraic equivalence
Semi-factorial models and Néron models
A logarithmic interpretation of Edixhoven's jumps for Jacobians
Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
Good reduction criterion for $K3$ surfaces
Quasi-functions and heights on abelian varieties
Good reduction of abelian varieties
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Faisceaux amples sur les schémas en groupes et les espaces homogènes
Degenerate fibres and stable reduction of curves
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Spécialisation du foncteur de Picard
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On quasi algebraic closure
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Néron models of algebraic curves
Algorithm for determining the type of a singular fiber in an elliptic pencil
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Projective integral models of Shimura varieties of Hodge type with compact factors
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Arithmetic on curves
GALOIS MODULI OF PERIOD $p$ GROUP SCHEMES OVER A RING OF WITT VECTORS
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Néron Models
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Neron Models of Formally Finite Type
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Pseudo-abelian varieties
Néron models and compactified Picard schemes over the moduli stack of stable curves
Diophantine Approximations on Toruses
Modeles de neron et monodromie
Reduction of commutative algebraic groups
On space filling curves and Albanese varieties.
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