Reference : Division in modules and Kummer theory
E-prints/Working papers : Already available on another site
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/48741
Division in modules and Kummer theory
English
Tronto, Sebastiano mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
2021
No
[en] Injective modules ; Algebraic groups ; Elliptic curves
[en] In this work we generalize the concept of injective module and develop a theory of divisibility for modules over a general ring, which provides a general and unified framework to study Kummer-like field extensions arising from commutative algebraic groups. With these tools we provide an effective bound for the degree of the field extensions arising from division points of elliptic curves, extending previous results of Javan Peykar for CM curves and of Lombardo and the author for the non-CM case.
http://hdl.handle.net/10993/48741
https://arxiv.org/abs/2111.14363

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
2111.14363.pdfPublisher postprint301.29 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.