An upper bound for the minimum genus of a curve without points of small degree
Claudio Stirpe
Acta Arithmetica, Tome 161 (2013), p. 115-128 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:286278 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa160-2-2,
     author = {Claudio Stirpe},
     title = {An upper bound for the minimum genus of a curve without points of small degree},
     journal = {Acta Arithmetica},
     volume = {161},
     year = {2013},
     pages = {115-128},
     zbl = {1309.11049},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa160-2-2}
}

Claudio Stirpe. An upper bound for the minimum genus of a curve without points of small degree. Acta Arithmetica, Tome 161 (2013) pp. 115-128. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa160-2-2/