# A footnote to the Poincaré complete reducibility theorem.

Publicacions Matemàtiques (1992)

- Volume: 36, Issue: 1, page 111-129
- ISSN: 0214-1493

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topMartens, Henrik H.. "A footnote to the Poincaré complete reducibility theorem.." Publicacions Matemàtiques 36.1 (1992): 111-129. <http://eudml.org/doc/41164>.

@article{Martens1992,

abstract = {Poincaré's work on the reduction of Abelian integrals contains implicitly an algorithm for the expression of a theta function as a sum of products of theta functions of fewer variables in the presence of reduction. The aim of this paper is to give explicit formulations and reasonably complete proofs of Poincaré's results. },

author = {Martens, Henrik H.},

journal = {Publicacions Matemàtiques},

keywords = {Función zeta; Integrales abelianas; Reducción; Matriz de Riemann; Riemann matrices; reduction of Abelian integrals; theta function},

language = {eng},

number = {1},

pages = {111-129},

title = {A footnote to the Poincaré complete reducibility theorem.},

url = {http://eudml.org/doc/41164},

volume = {36},

year = {1992},

}

TY - JOUR

AU - Martens, Henrik H.

TI - A footnote to the Poincaré complete reducibility theorem.

JO - Publicacions Matemàtiques

PY - 1992

VL - 36

IS - 1

SP - 111

EP - 129

AB - Poincaré's work on the reduction of Abelian integrals contains implicitly an algorithm for the expression of a theta function as a sum of products of theta functions of fewer variables in the presence of reduction. The aim of this paper is to give explicit formulations and reasonably complete proofs of Poincaré's results.

LA - eng

KW - Función zeta; Integrales abelianas; Reducción; Matriz de Riemann; Riemann matrices; reduction of Abelian integrals; theta function

UR - http://eudml.org/doc/41164

ER -

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