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On everywhere locally soluble varieties in families over toric bases

Vladi Mitankin, Leo Schäfer, Damaris Schindler, Florian Wilsch

Source record

Source: arXiv

Published: Sep 1, 2026

arXiv: 2609.01825

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Source abstract

We determine the density of locally soluble fibres in certain families of varieties over a toric base. For this we develop a new form of the hyperbola method for toric bases which allows for counting functions with a growth behaviour of the form Ba(logB)ΔB^a(\log B)^{-Δ}.

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