Counterexamples to the Complement Problem

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:

02 Aug 2017 15:37

ArXiv ID:

1605.05169

BORIS DOI:

10.7892/boris.97583

URI:

https://boris.unibe.ch/id/eprint/97583

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