Year: 2013
Type: preprint
Abstract: We show that a natural, two sorted $\cL_{ω_1,ω}$ theory involving the modular $j$-function is categorical in all uncountable cardinaities. It is also shown that a slight weakening of the adelic Mumford-Tate conjecture for products of elliptic curves is necessary and (along with a couple of other results from arithmetic geometry) sufficient for categoricity.
Source: arXiv (Cornell University)
Author: Harris, Adam
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2280708906