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...
Main Authors: | Chatzidakis, Z, Hrushovski, E |
---|---|
Format: | Journal article |
Published: |
American Mathematical Society
2016
|
Similar Items
-
Semi-Extraspecial Groups with an Abelian Subgroup of Maximal Possible Order
by: Mark L. Lewis
Published: (2018-06-01) -
Revisiting virtual difference ideals
by: Chatzidakis, Z, et al.
Published: (2016) -
An invariant for difference field extensions
by: Chatzidakis, Z, et al.
Published: (2011) -
Revisiting virtual difference ideals
by: Chatzidakis, Z, et al.
Published: (2024) -
Higher Ramanujan equations and periods of abelian varieties
by: Fonseca, TJ
Published: (2022)