Roth's Theorem over arithmetic function fields
Number Theory
2021-11-10 v4
Abstract
Roth's theorem is extended to finitely generated field extensions of , using Moriwaki's framework for heights.
Cite
@article{arxiv.1806.10737,
title = {Roth's Theorem over arithmetic function fields},
author = {Paul Vojta},
journal= {arXiv preprint arXiv:1806.10737},
year = {2021}
}
Comments
84 pages; AmSTeX. v2: Lemma 7.6 replaced (now Lemmas 7.8 and 7.9); minor fixes and rearrangements; minor change in title. v3: Rewrote much of Proposition 8.9 (Now Lemmas 8.9-8.10 and Prop. 8.11) and parts of the Introduction; added Prop. 3.24 and Examples 4.12 and 4.13. v4: Addressed comments from a referee. Rewrote much of the second half of Section 3; fixed Lemma 6.5, Corollary 6.6, etc