Geodesic
Models and integral differentials of hyperelliptic curves
Glasgow mathematical journal, Tome 66 (2024) no. 2, pp. 382-439

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

DOI

Let $C\; : \;y^2=f(x)$ be a hyperelliptic curve of genus $g\geq 1$, defined over a complete discretely valued field $K$, with ring of integers $O_K$. Under certain conditions on $C$, mild when residue characteristic is not $2$, we explicitly construct the minimal regular model with normal crossings $\mathcal{C}/O_K$ of $C$. In the same setting we determine a basis of integral differentials of $C$, that is an $O_K$-basis for the global sections of the relative dualising sheaf $\omega _{\mathcal{C}/O_K}$.
DOI : 10.1017/S001708952400003X
Mots-clés : Hyperelliptic curves, models of curves, dualising sheaf 
Muselli, Simone. Models and integral differentials of hyperelliptic curves. Glasgow mathematical journal, Tome 66 (2024) no. 2, pp. 382-439. doi: 10.1017/S001708952400003X
@article{10_1017_S001708952400003X,
     author = {Muselli, Simone},
     title = {Models and integral differentials of hyperelliptic curves},
     journal = {Glasgow mathematical journal},
     pages = {382--439},
     year = {2024},
     volume = {66},
     number = {2},
     doi = {10.1017/S001708952400003X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708952400003X/}
}
TY  - JOUR
AU  - Muselli, Simone
TI  - Models and integral differentials of hyperelliptic curves
JO  - Glasgow mathematical journal
PY  - 2024
SP  - 382
EP  - 439
VL  - 66
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S001708952400003X/
DO  - 10.1017/S001708952400003X
ID  - 10_1017_S001708952400003X
ER  - 
%0 Journal Article
%A Muselli, Simone
%T Models and integral differentials of hyperelliptic curves
%J Glasgow mathematical journal
%D 2024
%P 382-439
%V 66
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S001708952400003X/
%R 10.1017/S001708952400003X
%F 10_1017_S001708952400003X

Cité par Sources :