La trace via le calcul residuel: une nouvelle version du theoreme d'Abel-inverse, formes abeliennes

WEIMANN, Martin

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WEIMANN, Martin
Laboratoire Bordelais d'Analyse et Géométrie [LaBAG]

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Document de travail - Pré-publication

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We show here how residue calculus (residue currents, Grothendieck residues, duality theorem) can be used to obtain an algebraic characterization of the Abel-transform of a meromorphic form on germs of analytic sets. We prove by this way a stronger version of Abel-inverse theorem with an "algebraic" approach and we show the link with Wood's theorem. Furthermore, we obtain a new method to bound easily the dimension of the vector space of abelian forms on an algebraic projective hypersurface.< Leer menos

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Institut de Mathématiques de Bordeaux (IMB) - UMR 5251