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

Acta Arithmetica (2013)

- Volume: 160, Issue: 2, page 115-128
- ISSN: 0065-1036

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topClaudio 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 -

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