A TOWER OF RIEMANN SURFACES WHICH CANNOT BE DEFINED OVER THEIR FIELD OF MODULI
Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 379-393
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Explicit examples of both hyperelliptic and non-hyperelliptic curves which cannot be defined over their field of moduli are known in the literature. In this paper, we construct a tower of explicit examples of such kind of curves. In that tower there are both hyperelliptic curves and non-hyperelliptic curves.
ARTEBANI, MICHELA; CARVACHO, MARIELA; HIDALGO, RUBEN A.; QUISPE, SAÚL. A TOWER OF RIEMANN SURFACES WHICH CANNOT BE DEFINED OVER THEIR FIELD OF MODULI. Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 379-393. doi: 10.1017/S0017089516000227
@article{10_1017_S0017089516000227,
author = {ARTEBANI, MICHELA and CARVACHO, MARIELA and HIDALGO, RUBEN A. and QUISPE, SA\'UL},
title = {A {TOWER} {OF} {RIEMANN} {SURFACES} {WHICH} {CANNOT} {BE} {DEFINED} {OVER} {THEIR} {FIELD} {OF} {MODULI}},
journal = {Glasgow mathematical journal},
pages = {379--393},
year = {2017},
volume = {59},
number = {2},
doi = {10.1017/S0017089516000227},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000227/}
}
TY - JOUR AU - ARTEBANI, MICHELA AU - CARVACHO, MARIELA AU - HIDALGO, RUBEN A. AU - QUISPE, SAÚL TI - A TOWER OF RIEMANN SURFACES WHICH CANNOT BE DEFINED OVER THEIR FIELD OF MODULI JO - Glasgow mathematical journal PY - 2017 SP - 379 EP - 393 VL - 59 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000227/ DO - 10.1017/S0017089516000227 ID - 10_1017_S0017089516000227 ER -
%0 Journal Article %A ARTEBANI, MICHELA %A CARVACHO, MARIELA %A HIDALGO, RUBEN A. %A QUISPE, SAÚL %T A TOWER OF RIEMANN SURFACES WHICH CANNOT BE DEFINED OVER THEIR FIELD OF MODULI %J Glasgow mathematical journal %D 2017 %P 379-393 %V 59 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000227/ %R 10.1017/S0017089516000227 %F 10_1017_S0017089516000227
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