Severi Varieties on Ruled Surfaces over Elliptic Curves
Algebraic Geometry
2026-05-27 v1
Abstract
We proved that the general members of Severi varieties on an Atiyah ruled surface over a general elliptic curve have nodes and ordinary triple points as singularities.
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Cite
@article{arxiv.2405.11429,
title = {Severi Varieties on Ruled Surfaces over Elliptic Curves},
author = {Xiaotian Chang and Xi Chen and Adrian Zahariuc},
journal= {arXiv preprint arXiv:2405.11429},
year = {2026}
}
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25 pages