English

Some examples toward a Manin-Mumford conjecture for T-modules

Number Theory 2018-03-22 v1

Abstract

The aim of this work is to present a possible adaptation of the Manin-Mumford conjecture to the TT-modules, a mathematical object which has been introduced in the 1980's by G. Anderson as the natural analogue of the abelian varieties in the context of modules over rings which are contained in positive characteristic function fields. We propose then a generalisation of such an adapted conjecture to a modified general version of Mordell-Lang conjecture for TT-modules which might correct the one proposed for the first time by L. Denis but no longer compatible with the present results.

Keywords

Cite

@article{arxiv.1501.05408,
  title  = {Some examples toward a Manin-Mumford conjecture for T-modules},
  author = {Luca Demangos},
  journal= {arXiv preprint arXiv:1501.05408},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1311.5617

R2 v1 2026-06-22T08:09:24.860Z