Differential invariance of the multiplicity of real and complex analytic sets
This paper is devoted to proving the differential invariance of the multiplicity of real and complex analytic sets. In particular, we prove the real version of the Gau-Lipman theorem, i.e., it is proved that the multiplicity mod 2 of real analytic sets is a differential invariant. We also prove a ge...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:251927 |
| Acceso en línea: | https://ddd.uab.cat/record/251927 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6612214 |
| Access Level: | acceso abierto |
| Palabra clave: | Zariski's multiplicity conjecture Analytic sets Multiplicity |
| Sumario: | This paper is devoted to proving the differential invariance of the multiplicity of real and complex analytic sets. In particular, we prove the real version of the Gau-Lipman theorem, i.e., it is proved that the multiplicity mod 2 of real analytic sets is a differential invariant. We also prove a generalization of the Gau-Lipman theorem. |
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