SEMIABELIAN VARIETIES OVER SEPARABLY CLOSED FIELDS, MAXIMAL DIVISIBLE SUBGROUPS, AND EXACT SEQUENCES

DOI10.1017/S147474801400022XzbMath1375.14152arXiv0904.2083OpenAlexW2119067827MaRDI QIDQ3460403

Elisabeth Bouscaren, Franck Benoist, Anand Pillay

Publication date: 7 January 2016

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.2083

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Arithmetic ground fields for abelian varieties (14K15) Differential algebra (12H05) Formal groups, (p)-divisible groups (14L05) Special aspects of infinite or finite groups (20Fxx)

Related Items (3)

Infinitely \(p\)-divisible points on abelian varieties defined over function fields of characteristic \(p>0\) ⋮ UNIVERSAL COVERS OF COMMUTATIVE FINITE MORLEY RANK GROUPS ⋮ Density of orbits of dominant regular self-maps of semiabelian varieties

Cites Work

• Infinitely \(p\)-divisible points on abelian varieties defined over function fields of characteristic \(p>0\)
• On the isotriviality of projective iterative \(\partial\)-varieties
• Universal extensions and one dimensional crystalline cohomology
• Complete theories with 1-cardinal formulas
• Groups definable in separably closed fields
• Some Basic Theorems on Algebraic Groups
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• Quelques Proprietes des Varietes Abeliennes en Caracteristique p
• Questions de corps de définition pour les variétés abéliennes en caractéristique positive
• Jet and prolongation spaces
• A Lindemann-Weierstrass theorem for semi-abelian varieties over function fields
• Separably closed fields with Hasse derivations
• Minimal groups in separably closed fields
• Diophantine Approximation on Abelian Varieties in Characteristic p
• The Mordell-Lang conjecture for function fields
• Quantifier elimination for algebraic $D$-groups

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