Singularities of generic line congruences
2023 年 75 巻 2 号 p. 629-653
詳細
2023 年 75 巻 2 号 p. 629-653
Line congruences are 2-dimensional families of lines in 3-space. The singularities that appear in generic line congruences are folds, cuspidal edges and swallowtails. In this paper we give a geometric description of these singularities. The main tool used is the existence of an equiaffine pair defining a generic line congruence.
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