$6$-torsion and integral points on quartic threefolds

Carlo Pagano; Efthymios Sofos; Peter Koymans; Stephanie Chan

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$6$-torsion and integral points on quartic threefolds

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arxiv 2403.13359 v2 pith:JIJ5TERW submitted 2024-03-20 math.NT

Stephanie Chan , Peter Koymans , Carlo Pagano , Efthymios Sofos This is my paper

classification math.NT

keywords quartictorsionaffineaverageboundsclasscountfields

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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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