On universal Severi varieties of low genus K3 surfaces

Abstract

We prove the irreducibility of universal Severi varieties parametrizing irreducible, reduced, nodal hyperplane sections of primitive K3 surfaces of genus g, with 3 \le g \le 11, g \neq 10.

Some minor mistakes in the introductory paragraph 1.1 corrected. To appear in Math. Z

References in corpus (2)

• Projective Degenerations of K3 Surfaces, Gaussian Maps, and Fano Threefolds
• On the Severi varieties of surfaces in P^3