Some remarks on varieties with projectively isomorphic hyperplane sections
Projective varieties with the property that two of their generic hyperplane sections are projectively isomorphic, are studied. The author shows that such varieties have uniruled hyperplane sections. In particular, threefolds with projectively isomorphic hyperplane sections either have rational sections or are \(\mathbb{P}^2\)-bundles over a curve.
scientific article; zbMATH DE number 679551
scientific article