On universal Severi varieties of low genus K3 surfaces
classification
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keywords
genusseverisurfacesuniversalvarietieshyperplaneirreducibilityirreducible
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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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