Characterization of curves in C(2)

Meritxell Sáez

doi:10.1007/s13348-015-0147-x

Characterization of curves in C⁽²⁾

Meritxell Sáez^*

^*Autor corresponent d’aquest treball

Producció científica: Article en revista indexada › Article › Avaluat per experts

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

Altres arxius i enllaços

Link to publication in Scopus

Com citar-ho

@article{a7271b0bdcb942d8a2bd4a5bd5c154dc,

title = "Characterization of curves in C(2) ",

abstract = "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.",

keywords = "Curve, Curves in surfaces, Irregular surface, Symmetric product",

author = "Meritxell S{\'a}ez",

note = "Publisher Copyright: {\textcopyright} 2015, Universitat de Barcelona.",

year = "2016",

month = sep,

day = "1",

doi = "10.1007/s13348-015-0147-x",

language = "English",

volume = "67",

pages = "399--405",

journal = "Collectanea Mathematica",

issn = "0010-0757",

publisher = "Springer-Verlag Italia s.r.l.",

number = "3",

}

TY - JOUR

T1 - Characterization of curves in C(2)

AU - Sáez, 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.

KW - Curve

KW - Curves in surfaces

KW - Irregular surface

KW - Symmetric product

UR - https://www.scopus.com/pages/publications/84982298733

U2 - 10.1007/s13348-015-0147-x

DO - 10.1007/s13348-015-0147-x

M3 - Article

AN - SCOPUS:84982298733

SN - 0010-0757

VL - 67

SP - 399

EP - 405

JO - Collectanea Mathematica

JF - Collectanea Mathematica

IS - 3