Semistable models of elliptic curves over residue characteristic 2
Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 154-162
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Given an elliptic curve E in Legendre form $y^2 = x(x - 1)(x - \lambda )$ over the fraction field of a Henselian ring R of mixed characteristic $(0, 2)$, we present an algorithm for determining a semistable model of E over R that depends only on the valuation of $\lambda $. We provide several examples along with an easy corollary concerning $2$-torsion.
Yelton, Jeffrey. Semistable models of elliptic curves over residue characteristic 2. Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 154-162. doi: 10.4153/S0008439520000326
@article{10_4153_S0008439520000326,
author = {Yelton, Jeffrey},
title = {Semistable models of elliptic curves over residue characteristic 2},
journal = {Canadian mathematical bulletin},
pages = {154--162},
year = {2021},
volume = {64},
number = {1},
doi = {10.4153/S0008439520000326},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000326/}
}
TY - JOUR AU - Yelton, Jeffrey TI - Semistable models of elliptic curves over residue characteristic 2 JO - Canadian mathematical bulletin PY - 2021 SP - 154 EP - 162 VL - 64 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000326/ DO - 10.4153/S0008439520000326 ID - 10_4153_S0008439520000326 ER -
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