On subgroups of semi-abelian varieties defined by difference equations

On subgroups of semi-abelian varieties defined by difference equations

We study the induced structure on definable groups in existentially closed difference fields. If G is a definable subgroup of a semi-abelian variety, orthogonal to every definable field, we show that G is stable and stably embedded; every definable subset of Gn is a Boolean combination of cosets of...

Fuld beskrivelse

Bibliografiske detaljer
Main Authors:	Chatzidakis, Z, Hrushovski, E
Format:	Journal article
Udgivet:	American Mathematical Society 2016

Lignende værker

Semi-Extraspecial Groups with an Abelian Subgroup of Maximal Possible Order
af: Mark L. Lewis
Udgivet: (2018-06-01)

Revisiting virtual difference ideals
af: Chatzidakis, Z, et al.
Udgivet: (2016)

An invariant for difference field extensions
af: Chatzidakis, Z, et al.
Udgivet: (2011)

Revisiting virtual difference ideals
af: Chatzidakis, Z, et al.
Udgivet: (2024)

Higher Ramanujan equations and periods of abelian varieties
af: Fonseca, TJ
Udgivet: (2022)

Characterized Subgroups of Topological Abelian Groups
af: Dikran Dikranjan, et al.
Udgivet: (2015-10-01)

On T-Characterized Subgroups of Compact Abelian Groups
af: Saak Gabriyelyan
Udgivet: (2015-06-01)

Moduli of Abelian varieties /
af: Faber, C., (Carel), 1962-, et al.
Udgivet: (2001)

Complex Abelian varieties /
af: 382075 Birkenhake, Christina, et al.
Udgivet: (2004)

Abelian subgroups of pro-p Galois groups
af: Engler, A, et al.
Udgivet: (1998)

A Distinguished Subgroup of Compact Abelian Groups
af: Dikran Dikranjan, et al.
Udgivet: (2022-04-01)

Subgroup intersection graph of finite abelian groups
af: T. Tamizh Chelvam, et al.
Udgivet: (2012-09-01)

On uniformly fully inert subgroups of abelian groups
af: Dardano Ulderico, et al.
Udgivet: (2020-03-01)

Maximal abelian subgroups of the finite symmetric group
af: Janusz Konieczny
Udgivet: (2021-09-01)

G-Groups and Biuniform Abelian Normal Subgroups
af: María José Arroyo Paniagua, et al.
Udgivet: (2016-12-01)

On metric approximate subgroups
af: Hrushovski, E, et al.
Udgivet: (2024)

The equations of singular loci of ample divisors on (subvarieties of) abelian varieties
af: Luigi Lombardi, et al.
Udgivet: (2008-05-01)

REGULAR COMBINGS, NONPOSITIVE CURVATURE AND THE QUASICONVEXITY OF ABELIAN SUBGROUPS
af: Bridson, M
Udgivet: (1993)

Minimal non-abelian groups with an average condition on subgroups
af: Bijan Taeri, et al.
Udgivet: (2025-01-01)

Abelian subgroup separability of some one-relator groups
af: D. Tieudjo
Udgivet: (2005-01-01)

On the Structure of Groups whose Non-Abelian Subgroups are Serial
af: M.R. Dixon, et al.
Udgivet: (2016-06-01)

Remark on subgroup intersection graph of finite abelian groups
af: Zhao Jinxing, et al.
Udgivet: (2020-09-01)

On the structure of groups whose non-abelian subgroups are subnormal
af: Kurdachenko Leonid, et al.
Udgivet: (2014-12-01)

Analytic theory of abelian varieties /
af: 361109 Swinnerton-Duer, H. P. F.
Udgivet: (1974)

Abelian varieties with isogenous reductions
af: Khare, Chandrashekhar B., et al.
Udgivet: (2021-01-01)

Sequences of rational torsions on abelian varieties
af: Flynn, E
Udgivet: (1991)

SEQUENCES OF RATIONAL TORSIONS ON ABELIAN-VARIETIES
af: Flynn, E
Udgivet: (1991)

Large rational torsion on abelian varieties
af: Flynn, E
Udgivet: (1990)

LARGE RATIONAL TORSION ON ABELIAN-VARIETIES
af: Flynn, E
Udgivet: (1990)

Simple modules for groups with abelian Sylow 2-subgroups are algebraic
af: Craven, D
Udgivet: (2009)

Subadditive functions III : functions on modules and subgroups of Abelian groups/
af: 237295 Pelling, M. J.
Udgivet: (1979)

Normalizers and centralizers of subgroups in non-Abelian groups of small order
af: Ilya Anatolievih Shilin, et al.
Udgivet: (2012-09-01)

An Extension of Nice Bases on Ulm Subgroups of Primary Abelian Groups
af: Danchev Peter
Udgivet: (2012-12-01)

Groups Factorized by Pairwise Permutable Abelian Subgroups of Finite Rank
af: Bernhard Amberg, et al.
Udgivet: (2016-12-01)

Real abelian varieties with complex multiplication
af: , HUISMAN, Johannes, et al.
Udgivet: (1992)

ABELIAN-BY-NILPOTENT VARIETIES OF LIE-ALGEBRAS
af: Vaughanlee, M
Udgivet: (1975)

Abelian Function Fields on Jacobian Varieties
af: Julia Bernatska
Udgivet: (2025-01-01)

Free dihedral actions on abelian varieties
af: Bruno Aguiló Vidal
Udgivet: (2021-08-01)

Definability patterns and their symmetries
af: Hrushovski, E
Udgivet: (2020)

On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic
af: Rössler, D
Udgivet: (2015)