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math.NT2025
A new pointwise bound for -torsion of class groups
Stephanie Chan, Peter Koymans
Ellenberg--Venkatesh proved in 2007 that , where denotes the size of the -torsion of the class group of . We improve th…
math.NT2025
Serre's problem for multiple conics
Stephanie Chan, Peter Koymans, Nick Rome
We prove the refined Loughran--Smeets conjecture of Loughran--Rome--Sofos for a wide class of varieties arising as products of conic bundles. One interesting feature of our varieti…