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arXiv · 2403.13359

$6$-torsion and integral points on quartic threefolds

Stephanie Chan·Peter Koymans·Carlo Pagano·Efthymios Sofos
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Abstract

We prove matching upper and lower bounds for the average of the 6-torsion of class groups of quadratic fields. Furthermore, we count the number of integer solutions on an affine quartic threefold.

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Stephanie Chan, Peter Koymans, Carlo Pagano, Efthymios Sofos. 2024-03-20. $6$-torsion and integral points on quartic threefolds. https://arxiv.org/abs/2403.13359

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