A footnote to the Poincaré complete reducibility theorem.

Martens, 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 -