Reference : Big monodromy theorem for abelian varieties over finitely generated fields
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/12231
Big monodromy theorem for abelian varieties over finitely generated fields
English
Arias De Reyna Dominguez, Sara mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Gajda, Wojciech [Adam Mickiewicz University > Department of Mathematics]
Sebastian, Petersen [Universit├Ąt Kassel > Fachbereich Mathematik]
2013
Journal of Pure and Applied Algebra
217
2
218--229
Yes (verified by ORBilu)
International
0022-4049
[en] Abelian variety ; Galois representation
[en] An abelian variety over a field K is said to have big monodromy, if the image of the Galois representation on l-torsion points, for almost all primes l contains the full symplectic group.
We prove that all abelian varieties over a finitely generated field K with the endomorphism ring Z and semistable reduction of toric dimension one at a place of the base field K have big monodromy. We make no assumption on the transcendence degree or on the characteristic of K. This generalizes a recent result of Chris Hall.
Researchers
http://hdl.handle.net/10993/12231
10.1016/j.jpaa.2012.06.010
2969246

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