Effectively computing integral points on the moduli of smooth quartic curves

Ariyan Javanpeykar

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arXiv · 1604.05043

Effectively computing integral points on the moduli of smooth quartic curves

Ariyan Javanpeykar

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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.

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Ariyan Javanpeykar. 2016-04-18. Effectively computing integral points on the moduli of smooth quartic curves. https://arxiv.org/abs/1604.05043

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