Disentangling mappings defined on ICIS
[EN] We study germs of hypersurfaces (Y,0)subset of(Cn+1,0) that can be described as the image of A-finite mappings f:(X,S)->(Cn+1,0)defined on anicis(X,S)of dimensionn. We extend the definition of the Jacobian module given by Fern & aacute;ndez de Bobadilla, Nu & ntilde;o-Bal...
| Autores: | , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/213374 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/213374 |
| Access Level: | acceso abierto |
| Palavra-chave: | Image Milnor number The Mond conjecture ICIS |
| Resumo: | [EN] We study germs of hypersurfaces (Y,0)subset of(Cn+1,0) that can be described as the image of A-finite mappings f:(X,S)->(Cn+1,0)defined on anicis(X,S)of dimensionn. We extend the definition of the Jacobian module given by Fern & aacute;ndez de Bobadilla, Nu & ntilde;o-Ballesteros and Pe & ntilde;afort-Sanchis when X=C-n, which controls the image Milnor number mu(I)(X,f). We apply these results to prove the case n=2of the generalised Mond conjecture, which states that mu(I)(X,f) >= codim(Ae)(X,f), with equality if(Y,0) is weighted homogeneous. |
|---|