Co-fibered products of algebraic curves
Fedor Bogomolov; Yuri Tschinkel
Open Mathematics (2009)
- Volume: 7, Issue: 3, page 382-386
- ISSN: 2391-5455
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topFedor Bogomolov, and Yuri Tschinkel. "Co-fibered products of algebraic curves." Open Mathematics 7.3 (2009): 382-386. <http://eudml.org/doc/269146>.
@article{FedorBogomolov2009,
abstract = {We give examples of failure of the existence of co-fibered products in the category of algebraic curves.},
author = {Fedor Bogomolov, Yuri Tschinkel},
journal = {Open Mathematics},
keywords = {Unramified cover; Quaternion algebra; Shimura variety; Arithmetic group; unramifed cover; quaternion algebra; arithmetic group},
language = {eng},
number = {3},
pages = {382-386},
title = {Co-fibered products of algebraic curves},
url = {http://eudml.org/doc/269146},
volume = {7},
year = {2009},
}
TY - JOUR
AU - Fedor Bogomolov
AU - Yuri Tschinkel
TI - Co-fibered products of algebraic curves
JO - Open Mathematics
PY - 2009
VL - 7
IS - 3
SP - 382
EP - 386
AB - We give examples of failure of the existence of co-fibered products in the category of algebraic curves.
LA - eng
KW - Unramified cover; Quaternion algebra; Shimura variety; Arithmetic group; unramifed cover; quaternion algebra; arithmetic group
UR - http://eudml.org/doc/269146
ER -
References
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- [3] Beals R.M., Wetherell J.L., Zieve M.E., Polynomials with a common composite, preprint available at http://arxiv.org/abs/0707.1552 Zbl1195.12002
- [4] Margulis G.A., Discrete subgroups of semisimple Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol. 17, Springer-Verlag, Berlin, 1991 Zbl0732.22008
- [5] Waterhouse W., Intersections of two cofinite subfields, Archiv der Mathematik, 2004, 82(4), 298–300 http://dx.doi.org/10.1007/s00013-003-4872-0 Zbl1054.12002
- [6] Zieve M.E., Mueller P., On Ritt’s polynomial decomposition theorems, preprint available at http://arxiv.org/abs/0807.3578
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