MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 2269

Preprint Number 2269

Previous Next Preprint server


2269. Sebastian Eterović
Generic Solutions of Equations Involving the Modular j-function
E-mail:

Submission date: 25 September 2022

Abstract:

Assuming a modular version of Schanuel's conjecture and the modular Zilber-Pink conjecture, we show that the existence of generic solutions of certain families of equations involving the modular j function can be reduced to the problem of finding a Zariski dense set of solutions. By imposing some conditions on the field of definition of the variety, we are also able to obtain unconditional versions of this result.

Mathematics Subject Classification: 11F03 11J89

Keywords and phrases:

Full text arXiv 2209.12192: pdf, ps.


Last updated: October 15 2022 00:14 Please send your corrections to: