A note on the stable equivalence problem
| Data(s) |
2015
|
|---|---|
| Resumo |
We provide counterexamples to the stable equivalence problem in every dimension d ≥ 2. That means that we construct hypersurfaces H₁ , H₂ ⊂ C d+1 whose cylinders H₁ × C and H₂ × C are equivalent hypersurfaces in C d+2 , although H₁ and H₂ themselves are not equivalent by an automorphism of C d+1 . We also give, for every d ≥ 2, examples of two non-isomorphic algebraic varieties of dimension d which are biholomorphic. |
| Formato |
application/pdf |
| Identificador |
http://boris.unibe.ch/82553/1/1308.2652.pdf Poloni, Pierre-Marie (2015). A note on the stable equivalence problem. Journal of the Mathematical Society of Japan, 67(2), pp. 753-761. Project Euclid 10.2969/jmsj/06720753 <http://dx.doi.org/10.2969/jmsj/06720753> doi:10.7892/boris.82553 info:doi:10.2969/jmsj/06720753 urn:issn:0025-5645 |
| Idioma(s) |
eng |
| Publicador |
Project Euclid |
| Relação |
http://boris.unibe.ch/82553/ |
| Direitos |
info:eu-repo/semantics/restrictedAccess |
| Fonte |
Poloni, Pierre-Marie (2015). A note on the stable equivalence problem. Journal of the Mathematical Society of Japan, 67(2), pp. 753-761. Project Euclid 10.2969/jmsj/06720753 <http://dx.doi.org/10.2969/jmsj/06720753> |
| Palavras-Chave | #510 Mathematics |
| Tipo |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion PeerReviewed |
