Reference : Abelian varieties over finitely generated fields and the conjecture of Geyer and Jard...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/11506
Abelian varieties over finitely generated fields and the conjecture of Geyer and Jarden on torsion
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]
Petersen, Sebastian [Universit├Ąt Kassel > Fachbereich Mathematik]
2013
Mathematische Nachrichten
WILEY-VCH Verlag
286
13
1269-1286
Yes (verified by ORBilu)
International
1522-2616
[en] Mathematics - Algebraic Geometry ; Mathematics - Commutative Algebra ; Mathematics - Number Theory
[en] In this paper we prove the Geyer-Jarden conjecture on the torsion part of the Mordell-Weil group for a large class of abelian varieties defined over finitely generated fields of arbitrary characteristic. The class consists of all abelian varieties with big monodromy, i.e., such that the image of Galois representation on l-torsion points, for almost all primes l, contains the full symplectic group.
Researchers
http://hdl.handle.net/10993/11506

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
1010.2444.pdfAuthor preprint249.45 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.