La trace via le calcul residuel: une nouvelle version du theoreme d'Abel-inverse, formes abeliennes
| dc.creator | Weimann, Martin | |
| dc.date | 2004-05-26 | |
| dc.date | 2004-06-02 | |
| dc.date.accessioned | 2026-07-07T05:08:35Z | |
| dc.date.available | 2026-07-07T05:08:35Z | |
| dc.description | 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.description | 33 pages; minor grammatical changes; submitted to Annales de l'Institut Fourier | |
| dc.identifier | https://arxiv.org/abs/math/0405491 | |
| dc.identifier | http://arxiv.org/abs/math/0405491 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71324 | |
| dc.subject | Complex Variables | |
| dc.subject | Commutative Algebra | |
| dc.subject | 32B10;32C30 | |
| dc.title | La trace via le calcul residuel: une nouvelle version du theoreme d'Abel-inverse, formes abeliennes | |
| dc.type | text |