Euler-Jacobi formula for double points and applications to quadratic and cubic systems

Armengol Gasull; Joan Torregrosa

Euler-Jacobi formula for double points and applications to quadratic and cubic systems

Armengol Gasull, Joan Torregrosa

Departament de Matemàtiques

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Resum

We prove a generalization of the Euler-Jacobi formula for double points. We apply it to study the distribution of the critical points for quadratic and cubic systems, when one of these points is double.

Idioma original	English
Pàgines (de-a)	337-346
Revista	Bulletin of the Belgian Mathematical Society - Simon Stevin
Volum	6
Número	3
Estat de la publicació	Publicada - 1 de jul. 1999

Com citar-ho

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title = "Euler-Jacobi formula for double points and applications to quadratic and cubic systems",

abstract = "We prove a generalization of the Euler-Jacobi formula for double points. We apply it to study the distribution of the critical points for quadratic and cubic systems, when one of these points is double.",

keywords = "Berlinskii's Theorem, Double points, Euler-Jacobi's formula, Quadratic system",

author = "Armengol Gasull and Joan Torregrosa",

year = "1999",

month = jul,

day = "1",

language = "English",

volume = "6",

pages = "337--346",

journal = "Bulletin of the Belgian Mathematical Society - Simon Stevin",

issn = "1370-1444",

publisher = "Belgian Mathematical Society",

number = "3",

}

TY - JOUR

T1 - Euler-Jacobi formula for double points and applications to quadratic and cubic systems

AU - Gasull, Armengol

AU - Torregrosa, Joan

PY - 1999/7/1

Y1 - 1999/7/1

N2 - We prove a generalization of the Euler-Jacobi formula for double points. We apply it to study the distribution of the critical points for quadratic and cubic systems, when one of these points is double.

AB - We prove a generalization of the Euler-Jacobi formula for double points. We apply it to study the distribution of the critical points for quadratic and cubic systems, when one of these points is double.

KW - Berlinskii's Theorem

KW - Double points

KW - Euler-Jacobi's formula

KW - Quadratic system

M3 - Article

SN - 1370-1444

VL - 6

SP - 337

EP - 346

JO - Bulletin of the Belgian Mathematical Society - Simon Stevin

JF - Bulletin of the Belgian Mathematical Society - Simon Stevin

IS - 3

ER -

Euler-Jacobi formula for double points and applications to quadratic and cubic systems

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