We resolve Schinzel’s Hypothesis (H) for $$100%$$ 100 % of polynomials of arbitrary degrees. We deduce that a positive proportion of diagonal conic bundles over Q Q with any given number of degenerate fibres have a rational point, and obtain similar results for generalised Châtelet equations.
No takes yet. Share an insight, caveat, or question.
Skorobogatov et al. (2022) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: