Characterization of curves in C(2)

Meritxell Sáez

doi:10.1007/s13348-015-0147-x

Characterization of curves in C⁽²⁾

Meritxell Sáez

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1 Citació (Scopus)

Resum

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.

Idioma original	Anglès
Pàgines (de-a)	399-405
Nombre de pàgines	7
Revista	Collectanea Mathematica
Volum	67
Número	3
DOIs	https://doi.org/10.1007/s13348-015-0147-x
Estat de la publicació	Publicada - 1 de set. 2016
Publicat externament	Sí

Accés al document

10.1007/s13348-015-0147-x

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Com citar-ho

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AB - 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.

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