Severi Varieties on Ruled Surfaces over Elliptic Curves. arXiv:2405.11429
Preprint, arXiv:2405.11429 [math.AG] (2024).
Summary: 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.
MSC:
| 14C25 | Algebraic cycles |
| 14C30 | Transcendental methods, Hodge theory (algebro-geometric aspects) |
| 14C35 | Applications of methods of algebraic \(K\)-theory in algebraic geometry |
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