Characterization of curves in C(2)

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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× 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.

Original languageEnglish
Pages (from-to)399-405
Number of pages7
JournalCollectanea Mathematica
Issue number3
Publication statusPublished - 1 Sept 2016
Externally publishedYes


  • Curve
  • Curves in surfaces
  • Irregular surface
  • Symmetric product


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