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Classe d'equivalence Formelle D'un D-Module D'Airy

Lotfi Saidane
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Abstract

In this work we study a formal equivalent class of an Airy's D-module, which we compare with an analytic class of equivalence. We calculate the determining factors of an Airy operator of bidegree (n, m) and we clarify the coefficients of the operator which intervene in the determination of the determining factors. Finally, we induce, the canonical model (see [ BV1]), of an Airy operator of bidegre (n, m). ----- Dans ce travail on étudie une classe d'équivalence formelle d'un D-module d'Airy, qu'on compare avec une classe d'équivalence analytique. On calcule les facteurs déterminants d'un opérateur d'Airy de bidegré (n,m) et on précise les coefficients de l'opérateur qui interviennent dans la détermination des facteurs déterminants. On donne enfin, le modèle canonique, voir [BV1], d'un opérateur d'Airy de bidegré (n,m).

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BibTeXRIS

Lotfi Saidane. 2003-06-10. Classe d'equivalence Formelle D'un D-Module D'Airy. https://arxiv.org/abs/math/0306170

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