The automorphisms of line congruences in P^3 are studied via the analysis of the automorphisms of the associated focal loci. This study is applied to a Veronese surface (i.e. to a congruence of chords of a twisted cubic) and to the rational scrolls in the Grassmannian G(1, 3).
On the automorphisms of some line congruences in P^3 / M. Bertolini, C. Turrini. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - 27:2(1988), pp. 191-197. [10.1007/BF00151349]
On the automorphisms of some line congruences in P^3
M. Bertolini;C. Turrini
1988
Abstract
The automorphisms of line congruences in P^3 are studied via the analysis of the automorphisms of the associated focal loci. This study is applied to a Veronese surface (i.e. to a congruence of chords of a twisted cubic) and to the rational scrolls in the Grassmannian G(1, 3).
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