PreprintCC BY 4.0arXiv
Torsion points in families of elliptic curves
Abstract
We study the specialization of torsion points in one-parameter degenerations of elliptic curves with singular fibers of Kodaira type. We describe the resulting torsion curves, their ramifications, intersection multiplicities, and irreducible and connected components.
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BibTeX
@misc{sgallova2026torsion,
title = {{Torsion points in families of elliptic curves}},
author = {Ester Sgallová},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.08190},
eprint = {2611.08190},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.08190},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Torsion points in families of elliptic curves
AU - Ester Sgallová
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.08190
UR - https://arxiv.org/abs/2611.08190
AB - We study the specialization of torsion points in one-parameter degenerations of elliptic curves with singular fibers of Kodaira type. We describe the resulting torsion curves, their ramifications, intersection multiplicities, and irreducible and connected components.
ER -