Severi varieties on ruled surfaces over elliptic curves
Abstract
We prove 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.
Fields of Study & Subjects
advanced mathematical theories
Algebraic Geometry and Number Theory
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Pacific Journal of Mathematics
- Publisher
- Mathematical Sciences Publishers
- Volume
- 343
- Issue
- 2
- Pages
- 343–369
- Publication date
- 22 May 2026
- Language
- EN