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Smooth rational projective varieties with non-finitely generated discrete automorphism group and infinitely many real forms (2002.04737v2)
Published 11 Feb 2020 in math.AG
Abstract: We show, among other things, that for each integer $n \ge 3$, there is a smooth complex projective rational variety of dimension $n$, with discrete non-finitely generated automorphism group and with infinitely many mutually non-isomorphic real forms. Our result is inspired by the work of Lesieutre and the work of Dinh and Oguiso.