Effectively computing integral points on the moduli of smooth quartic curves
Number Theory
2016-09-16 v2 Algebraic Geometry
Abstract
We prove an effective version of the Shafarevich conjecture (as proven by Faltings) for smooth quartic curves. To do so, we establish an effective version of Scholl's finiteness result for smooth del Pezzo surfaces of degree at most four.
Cite
@article{arxiv.1604.05043,
title = {Effectively computing integral points on the moduli of smooth quartic curves},
author = {Ariyan Javanpeykar},
journal= {arXiv preprint arXiv:1604.05043},
year = {2016}
}
Comments
14 pages