arXiv Open Access 2013

Categoricity of the two sorted j-function

Adam Harris

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.LO

Penulis (1)

Adam Harris

Format Sitasi

APA MLA BibTeX

Harris, A. (2013). Categoricity of the two sorted j-function. https://arxiv.org/abs/1304.4787

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓