On universal Severi varieties of low genus K3 surfaces

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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.

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