Counting number fields in fibers (with an Appendix by Jean Gillibert)
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DOI: 10.1007/s00209-017-1900-5
Abstract: Let X be a projective curve over $${\mathbb Q}$$Q and $${t\in {\mathbb Q}(X)}$$t∈Q(X) a non-constant rational function of degree $${n\ge 2}$$n≥2. For every $${\tau \in {\mathbb Z}}$$τ∈Z pick $${P_\tau \in X(\bar{\mathbb Q})}$$Pτ∈X(Q¯) such that $${t(P_\tau… read more here.
Keywords: fields fibers; tau; number fields; counting number ... See more keywords