Inverse problems for invariant algebraic curves: Explicit computations

Colin Christopher; Jaume Llibre; Chara Pantazi; Sebastian Walcher

doi:10.1017/S0308210507001175

Inverse problems for invariant algebraic curves: Explicit computations

Colin Christopher, Jaume Llibre, Chara Pantazi, Sebastian Walcher

Departament de Matemàtiques

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

24 Cites (Scopus)

Resum

Given an algebraic curve in the complex affine plane, we describe how to determine all planar polynomial vector fields which leave this curve invariant. If all (finite) singular points of the curve are non-degenerate, we give an explicit expression for these vector fields. In the general setting we provide an algorithmic approach, and as an alternative we discuss sigma processes. © 2009 Copyright Royal Society of Edinburgh.

Idioma original	Anglès
Pàgines (de-a)	287-302
Revista	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volum	139
DOIs	https://doi.org/10.1017/S0308210507001175
Estat de la publicació	Publicada - 1 d’abr. 2009

Accés al document

10.1017/S0308210507001175

Com citar-ho

@article{7ff85d97c672425e995deb001db23b2a,

title = "Inverse problems for invariant algebraic curves: Explicit computations",

abstract = "Given an algebraic curve in the complex affine plane, we describe how to determine all planar polynomial vector fields which leave this curve invariant. If all (finite) singular points of the curve are non-degenerate, we give an explicit expression for these vector fields. In the general setting we provide an algorithmic approach, and as an alternative we discuss sigma processes. {\textcopyright} 2009 Copyright Royal Society of Edinburgh.",

author = "Colin Christopher and Jaume Llibre and Chara Pantazi and Sebastian Walcher",

year = "2009",

month = apr,

day = "1",

doi = "10.1017/S0308210507001175",

language = "English",

volume = "139",

pages = "287--302",

journal = "Proceedings of the Royal Society of Edinburgh Section A: Mathematics",

issn = "0308-2105",

publisher = "Cambridge University Press",

}

TY - JOUR

T1 - Inverse problems for invariant algebraic curves: Explicit computations

AU - Christopher, Colin

AU - Llibre, Jaume

AU - Pantazi, Chara

AU - Walcher, Sebastian

PY - 2009/4/1

Y1 - 2009/4/1

N2 - Given an algebraic curve in the complex affine plane, we describe how to determine all planar polynomial vector fields which leave this curve invariant. If all (finite) singular points of the curve are non-degenerate, we give an explicit expression for these vector fields. In the general setting we provide an algorithmic approach, and as an alternative we discuss sigma processes. © 2009 Copyright Royal Society of Edinburgh.

AB - Given an algebraic curve in the complex affine plane, we describe how to determine all planar polynomial vector fields which leave this curve invariant. If all (finite) singular points of the curve are non-degenerate, we give an explicit expression for these vector fields. In the general setting we provide an algorithmic approach, and as an alternative we discuss sigma processes. © 2009 Copyright Royal Society of Edinburgh.

U2 - 10.1017/S0308210507001175

DO - 10.1017/S0308210507001175

M3 - Article

SN - 0308-2105

VL - 139

SP - 287

EP - 302

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

ER -

Inverse problems for invariant algebraic curves: Explicit computations

Resum

Accés al document

Fingerprint

Com citar-ho