Geodesic
An upper bound for the minimum genus of a curve without points of small degree
Claudio Stirpe1
1 Dipartimento di Matematica Università di Roma `Sapienza' Via Castello 35 03029 Veroli (FR), Italy
Acta Arithmetica, Tome 160 (2013) no. 2, pp. 115-128 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that for any prime $p$ there is a constant $C_p>0$ such that for any $n>0$ and for any $p$-power $q$ there is a smooth, projective, absolutely irreducible curve over $\mathbb {F}_q$ of genus $g\leq C_p q^n$ without points of degree smaller than $n$.
DOI : 10.4064/aa160-2-2
Keywords: prove prime there constant p power there smooth projective absolutely irreducible curve mathbb genus leq n without points degree smaller nbsp

Claudio Stirpe 1

1 Dipartimento di Matematica Università di Roma `Sapienza' Via Castello 35 03029 Veroli (FR), Italy 
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Claudio Stirpe. An upper bound for the minimum genus of a
 curve without points of small degree. Acta Arithmetica, Tome 160 (2013) no. 2, pp. 115-128. doi: 10.4064/aa160-2-2

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