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math.NT2025
Counting quadratic points on Fano varieties
Francesca Balestrieri, Kevin Destagnol, Julian Lyczak +2
This paper initiates the systematic study of the number of points of bounded height on symmetric squares of weak Fano varieties. We provide a general framework for establishing the…
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…