Abstract
Abstract Let D(n, s, k) = {z∈ ℂ n : ( –|z 1|2 + |z 2|2) k + ∑ i s =3 |zi |2 – ∑ i n = s +1 |zi |2 < 1}, where k ∈ ℤ+, 3 ≤ s ≤ n, and let M(n, s, k) = ∂D(n, s, k). We determine for any values of n, s and k the biholomorphic automorphisms of D(n, s, k), identifying, in suitable cases, the germs of biholomorphisms that map M(n, s, k) and D(n, s, k) respectively in themselves. It turns out that, if k is even and s = n, any such germ extends to a biholomorphic automorphism of D(n, s, k), while, in other cases, it is a branch of an algebraic correspondence.
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