An upper bound for the minimum genus of a curve without points of small degree

Claudio Stirpe. "An upper bound for the minimum genus of a curve without points of small degree." Acta Arithmetica 160.2 (2013): 115-128. <http://eudml.org/doc/286278>.

@article{ClaudioStirpe2013,
abstract = {We prove that for any prime p there is a constant Cₚ > 0 such that for any n > 0 and for any p-power q there is a smooth, projective, absolutely irreducible curve over $_\{q\}$ of genus g ≤ Cₚqⁿ without points of degree smaller than n.},
author = {Claudio Stirpe},
journal = {Acta Arithmetica},
keywords = {rational points; class field theory},
language = {eng},
number = {2},
pages = {115-128},
title = {An upper bound for the minimum genus of a curve without points of small degree},
url = {http://eudml.org/doc/286278},
volume = {160},
year = {2013},
}

TY - JOUR
AU - Claudio Stirpe
TI - An upper bound for the minimum genus of a curve without points of small degree
JO - Acta Arithmetica
PY - 2013
VL - 160
IS - 2
SP - 115
EP - 128
AB - We prove that for any prime p there is a constant Cₚ > 0 such that for any n > 0 and for any p-power q there is a smooth, projective, absolutely irreducible curve over $_{q}$ of genus g ≤ Cₚqⁿ without points of degree smaller than n.
LA - eng
KW - rational points; class field theory
UR - http://eudml.org/doc/286278
ER -