A footnote to the Poincaré complete reducibility theorem

Autores: Henrik H. Martens
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 1, 1992, págs. 111-129
Idioma: inglés
DOI: 10.5565/publmat_36192_09
Títulos paralelos:
- Una nota sobre el teorema de reducibilidad completa de Poincaré
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Resumen
- 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.