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Holomorphic bijections of algebraic sets

Sławomir Cynk, Kamil Rusek (1997)

Annales Polonici Mathematici

We prove that every holomorphic bijection of a quasi-projective algebraic set onto itself is a biholomorphism. This solves the problem posed in [CR].

Hulls of subsets of the torus in 2

Herbert Alexander (1998)

Annales de l'institut Fourier

We construct a non-polynomially convex compact subset of the unit torus in 2 with polynomially convex hull containing no analytic structure.

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