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Severi Varieties on Ruled Surfaces over Elliptic Curves

arXiv:2405.11429 · doi:10.2140/pjm.2026.343.343

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.

25 pages

Severi Varieties on Ruled Surfaces over Elliptic Curves · wovepaper