In this paper we prove that for any prime p and for any p-power q there is a constant C_p > 0 such that for any n > 0 there is a smooth, projective, absolutely irreducible curve over F_q of genus g ≤ C q^n without points of degree smaller than n.
An upper bound for the genus of a curve without points of small degree
STIRPE, CLAUDIO
2012
Abstract
In this paper we prove that for any prime p and for any p-power q there is a constant C_p > 0 such that for any n > 0 there is a smooth, projective, absolutely irreducible curve over F_q of genus g ≤ C q^n without points of degree smaller than n.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.14242/88480
Il codice NBN di questa tesi è
URN:NBN:IT:UNIROMA1-88480