Co-fibered products of algebraic curves

• Autorzy: Fedor Bogomolov , Yuri Tschinkel
• Języki publikacji: EN

Abstrakty

EN

We give examples of failure of the existence of co-fibered products in the category of algebraic curves.

Słowa kluczowe

EN

Unramified cover; Quaternion algebra; Shimura variety; Arithmetic group

Kategorie tematyczne

• 11F06: Structure of modular groups and generalizations; arithmetic groups
• 11E12: Quadratic forms over global rings and fields
• 14G35: Modular and Shimura varieties
• 14H30: Coverings, fundamental group
• 11E45: Analytic theory (Epstein zeta functions; relations with automorphic forms and functions)
• 14L40: Other algebraic groups (geometric aspects)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 3
• Strony: 382-386

Daty

wydano

2009-09-01

online

2009-08-12

Twórcy

autor

Fedor Bogomolov

• New York University,

autor

Yuri Tschinkel

• New York University,

Bibliografia

• [1] Berkson A., Polynomial subfields over perfect fields, Nordisk Mat. Tidskr., 1973, 21, 29–30
• [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
• [3] Beals R.M., Wetherell J.L., Zieve M.E., Polynomials with a common composite, preprint available at http://arxiv.org/abs/0707.1552
• [4] Margulis G.A., Discrete subgroups of semisimple Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol. 17, Springer-Verlag, Berlin, 1991
• [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
• [6] Zieve M.E., Mueller P., On Ritt’s polynomial decomposition theorems, preprint available at http://arxiv.org/abs/0807.3578

Identyfikatory

DOI

10.2478/s11533-009-0030-7