Geodesic
A FROBENIUS QUESTION RELATED TO ACTIONS ON CURVES IN CHARACTERISTIC P
Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 143-148

Voir la notice de l'article provenant de la source Cambridge University Press

We consider which integers g can occur as the genus and of a curve defined over a field of characteristic p which admits an automorphism of degree pq, where p and q are distinct primes. This investigation leads us to consider a certain family of three-dimensional Frobenius problems and prove explicit formulas giving their solution in many cases.
DOI : 10.1017/S0017089513000128
Mots-clés : 11D07, 14G17, 11G20 
GLASS, DARREN B. A FROBENIUS QUESTION RELATED TO ACTIONS ON CURVES IN CHARACTERISTIC P. Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 143-148. doi: 10.1017/S0017089513000128
@article{10_1017_S0017089513000128,
     author = {GLASS, DARREN B.},
     title = {A {FROBENIUS} {QUESTION} {RELATED} {TO} {ACTIONS} {ON} {CURVES} {IN} {CHARACTERISTIC} {P}},
     journal = {Glasgow mathematical journal},
     pages = {143--148},
     year = {2014},
     volume = {56},
     number = {1},
     doi = {10.1017/S0017089513000128},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000128/}
}
TY  - JOUR
AU  - GLASS, DARREN B.
TI  - A FROBENIUS QUESTION RELATED TO ACTIONS ON CURVES IN CHARACTERISTIC P
JO  - Glasgow mathematical journal
PY  - 2014
SP  - 143
EP  - 148
VL  - 56
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000128/
DO  - 10.1017/S0017089513000128
ID  - 10_1017_S0017089513000128
ER  - 
%0 Journal Article
%A GLASS, DARREN B.
%T A FROBENIUS QUESTION RELATED TO ACTIONS ON CURVES IN CHARACTERISTIC P
%J Glasgow mathematical journal
%D 2014
%P 143-148
%V 56
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000128/
%R 10.1017/S0017089513000128
%F 10_1017_S0017089513000128

[1] 1.Byrnes, J. S., On a partition problem of Frobenius, J. Comb. Theory Ser. A 17 (1974), 162–166. MR 0347732 (50 #234). Google Scholar | DOI

[2] 2.Curtis, F., On formulas for the Frobenius number of a numerical semigroup, Math. Scand. 67 (2) (1990), 190–192. MR 1096454 (92e:11019). Google Scholar

[3] 3.Glass, D., The 2-ranks of hyperelliptic curves with extra automorphisms, Int. J. Number Theory 5 (5) (2009), 897–910. MR 2553515 (2010h:11100). Google Scholar | DOI

[4] 4.Glass, D., Non-genera of curves with automorphisms in characteristic p, in Computational algebraic and analytic geometry, Contemporary Mathematics, vol. 572 (Seppälä, M. and Volcheck, E., Editors) (American Mathematical Society, Providence RI, 2012), 89–95. Google Scholar | DOI

[5] 5.O'Sullivan, C. and Weaver, A., A diophantine frobenius problem related to Riemann surfaces, Glasg. Math. J. 53 (3) (2011), 501–522. MR 2822795. Google Scholar

[6] 6.Sylvester, J. J., Question 7382, in Mathematical questions from the educational times, vol. 41 (1884). Google Scholar

Cité par Sources :