Density of Ch\^atelet surfaces failing the Hasse principle
classification
🧮 math.NT
math.AG
keywords
surfacesatelethasseprinciplealwaysariseattentionclass
read the original abstract
Ch\^atelet surfaces provide a rich source of geometrically rational surfaces which do not always satisfy the Hasse principle. Restricting attention to a special class of Ch\^atelet surfaces, we investigate the frequency that such counter-examples arise over the rationals.
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