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Characterization of curves in ?(2)

  • Autores: Meritxell Sáez Cornellana
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 67, Fasc. 3, 2016, págs. 399-405
  • Idioma: inglés
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  • Resumen
    • In this paper we characterize the irreducible curves lying in ?(2) . We prove that a curve B has a degree one morphism to ?(2) with image a curve of degree d, with irreducible preimage in ?×? , if and only if there exists an irreducible smooth curve D and morphisms from D to C and B, of degrees d and 2 respectively, forming a diagram which does not reduce.


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