Counterexamples to the complement problem
Pierre-Marie Poloni
Universität Bern, Switzerland
Abstract
We provide explicit counterexamples to the so-called Complement Problem in every dimension , i.e. pairs of nonisomorphic irreducible algebraic hypersurfaces whose complements and 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.
Cite this article
Pierre-Marie Poloni, Counterexamples to the complement problem. Comment. Math. Helv. 94 (2019), no. 3, pp. 439–444
DOI 10.4171/CMH/464