On everywhere locally soluble varieties in families over toric bases
Vladi Mitankin, Leo Schäfer, Damaris Schindler, Florian Wilsch
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( B)-Δ.
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