Poloni, Pierre-Marie (2017). Counterexamples to the Complement Problem (In Press). Commentarii mathematici Helvetici EMS Publishing House
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We provide explicit counterexamples to the so-called Complement Problem in every dimension n≥3 , i.e. pairs of non-isomorphic irreducible hypersurfaces H₁ ,H₂ ⊂C n whose complements C n ∖H 1 and C n ∖H 2 are isomorphic. Since we can arrange that one of the hypersurfaces is singular whereas the other is smooth, we also have counterexamples in the analytic setting.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Poloni, Pierre-Marie |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0010-2571 |
Publisher: |
EMS Publishing House |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
02 Aug 2017 15:37 |
Last Modified: |
05 Dec 2022 15:04 |
ArXiv ID: |
1605.05169 |
BORIS DOI: |
10.7892/boris.97583 |
URI: |
https://boris.unibe.ch/id/eprint/97583 |
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