Characterization of curves in C^{(2)}

• Autores: Meritxell Sáez Cornellana
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 67, Fasc. 3, 2016, págs. 399-405
• Idioma: inglés
• DOI: 10.1007/s13348-015-0147-x
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• Resumen

  • In this paper we characterize the irreducible curves lying in C^{(2)}. We prove that a curve B has a degree one morphism to C^{(2)} with image a curve of degree d, with irreducible preimage in C\times C, 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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