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Likely and unlikely ramification of algebraic points on curves

Viray, Bianca et al.
arXiv (All) · Papers
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11g30number-theory
This paper initiates the study of arithmetic properties of closed points of arbitrary degree on curves. We show that a pointless curve of rank $0$ can have only finitely many cyclic degree $\ell$ points for all sufficiently large primes $\ell$. More generally, we show that the residue fields of poin
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