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
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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.