Remarks on families of singular curves with hyperelliptic normalizations

• Autores: Andreas Leopold Knutsen
• Localización: Indagationes mathematicae, ISSN 0019-3577, Vol. 19, Nº 2, 2008, págs. 217-238
• Idioma: inglés
• DOI: 10.1016/s0019-3577(08)80001-8
• Texto completo no disponible (Saber más ...)
• Resumen

  • We give restrictions on the existence of families of curves on smooth projective surfaces S of nonnegative Kodaira dimension all having constant geometric genus pg 2 and hyperelliptic normalizations. In particular, we prove a Reider-like result that relies on deformation theory and bending-and-breaking of rational curves in Sym2(S). We also give examples of families of such curves.