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Résolution du problème des arcs de Nash pour une famille d’hypersurfaces quasi-rationnelles
| Content Provider | Semantic Scholar |
|---|---|
| Author | Leyton-'alvarez, Maximiliano |
| Copyright Year | 2011 |
| Abstract | The Nash problem on arcs for normal surface singularities states that there are as many arc families on a germ (S,O) of a singular surface as there are essential divisors over (S,O). It is known that this problem can be reduced to the study of quasi-rational singularities. In this paper we give a positive answer to the Nash problem for a family of non-rational quasi-rational hypersurfaces. The same method is applied to answer positively to this problem in the case of E_6 and E_7 type singularities, and to provide new proof in the case of D_n, n> =4, type singularities. |
| Starting Page | 613 |
| Ending Page | 667 |
| Page Count | 55 |
| File Format | PDF HTM / HTML |
| DOI | 10.5802/afst.1320 |
| Volume Number | 20 |
| Alternate Webpage(s) | http://afst.cedram.org/cedram-bin/article/AFST_2011_6_20_3_613_0.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/1101.5786v2.pdf |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-00560293/document |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
