Characterization of curves in C⁽²⁾

TY - JOUR

T1 - Characterization of curves in C(2)

AU - Saez Cornellana, Meritxell

PY - 2016/9/1

Y1 - 2016/9/1

N2 - 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.

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.

U2 - 10.1007/s13348-015-0147-x

DO - 10.1007/s13348-015-0147-x

M3 - Journal article

SN - 0010-0757

VL - 67

SP - 399

EP - 405

JO - Collectanea Mathematica

JF - Collectanea Mathematica

IS - 3

ER -