Severi Varieties on Ruled Surfaces over Elliptic Curves

2024/05/19 by Chang, Xiaotian, Chen, Xi, Zahariuc, Adrian
#14C25 #14C30 #14C35 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2405.11429

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.

Related

• Some results of regularity for Severi varieties of projective surfaces
• On the Severi varieties of surfaces in P³
• Severi varieties on Enriques surfaces of base change type and on rational elliptic surfaces
• Irreducibility of Severi varieties on K3 surfaces
• Severi varieties and branch curves of abelian surfaces of type (1,3)