La trace via le calcul residuel: une nouvelle version du theoreme d'Abel-inverse, formes abeliennes
hal.structure.identifier | Laboratoire Bordelais d'Analyse et Géométrie [LaBAG] | |
dc.contributor.author | WEIMANN, Martin | |
dc.date.created | 2004 | |
dc.description.abstractEn | 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. | |
dc.language.iso | en | |
dc.title | La trace via le calcul residuel: une nouvelle version du theoreme d'Abel-inverse, formes abeliennes | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
dc.subject.hal | Mathématiques [math]/Algèbre commutative [math.AC] | |
dc.identifier.arxiv | math.CV/0405491 | |
hal.identifier | hal-00011172 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00011172v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=La%20trace%20via%20le%20calcul%20residuel:%20une%20nouvelle%20version%20du%20theoreme%20d'Abel-inverse,%20formes%20abeliennes&rft.atitle=La%20trace%20via%20le%20calcul%20residuel:%20une%20nouvelle%20version%20du%20theoreme%20d'Abel-inverse,%20formes%20abeliennes&rft.au=WEIMANN,%20Martin&rft.genre=preprint |
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