# 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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- [2] Bremner A., Morton P., Polynomial relations in characteristic p, Q. J. Math., 1978, 29(115), 335–347 http://dx.doi.org/10.1093/qmath/29.3.335 Zbl0391.12011
- [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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