Relative geometries

Blossier, Thomas, Martin-Pizarro, Amador, and Wagner, Frank Olaf. "Relative geometries." Journal of the European Mathematical Society 017.2 (2015): 229-258. <http://eudml.org/doc/277763>.

@article{Blossier2015,
abstract = {In this paper, we shall study type-definable groups in a simple theory with respect to one or several stable reducts. While the original motivation came from the analysis of definable groups in structures obtained by Hrushovski's amalgamation method, the notions introduced are in fact more general, and in particular can be applied to certain expansions of algebraically closed fields by operators.},
author = {Blossier, Thomas, Martin-Pizarro, Amador, Wagner, Frank Olaf},
journal = {Journal of the European Mathematical Society},
keywords = {Model Theory; amalgamation methods; CM-triviality; geometry; group; definability; model theory; amalgamation methods; CM-triviality; geometry; group; definability},
language = {eng},
number = {2},
pages = {229-258},
publisher = {European Mathematical Society Publishing House},
title = {Relative geometries},
url = {http://eudml.org/doc/277763},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Blossier, Thomas
AU - Martin-Pizarro, Amador
AU - Wagner, Frank Olaf
TI - Relative geometries
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 2
SP - 229
EP - 258
AB - In this paper, we shall study type-definable groups in a simple theory with respect to one or several stable reducts. While the original motivation came from the analysis of definable groups in structures obtained by Hrushovski's amalgamation method, the notions introduced are in fact more general, and in particular can be applied to certain expansions of algebraically closed fields by operators.
LA - eng
KW - Model Theory; amalgamation methods; CM-triviality; geometry; group; definability; model theory; amalgamation methods; CM-triviality; geometry; group; definability
UR - http://eudml.org/doc/277763
ER -