Lemme d'Artin-Rees, theoreme d'Izumi et fonction de Artin
| dc.creator | Rond, Guillaume | |
| dc.date | 2005-02-02 | |
| dc.date | 2005-09-23 | |
| dc.date.accessioned | 2026-07-07T06:18:48Z | |
| dc.date.available | 2026-07-07T06:18:48Z | |
| dc.description | We interpret the Artin-Rees lemma and the Izumi theorem in term of Artin function and we obtain a stable version of the Artin-Rees lemma. We present different applications of these interpretations. First we show that the Artin function of $X_1X_2-X_3X_4$, as a polynomial in the ring of power series in more than three variables, is not bounded by an affine function. Then we prove that the Artin functions of a class of polynomials are bounded by affine functions and we use this to compute approximated integral closures of ideals. | |
| dc.description | to appear in J. of Algebra; a lot of misprints changed and some proofs are improved following referee's comments | |
| dc.identifier | https://arxiv.org/abs/math/0502045 | |
| dc.identifier | http://arxiv.org/abs/math/0502045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94859 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.title | Lemme d'Artin-Rees, theoreme d'Izumi et fonction de Artin | |
| dc.type | text |