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oai:docta.ucm.es:20.500.14352/606692023-09-07T20:27:26Zcom_20.500.14352_14col_20.500.14352_21

Classification of smooth congruences with a fundamental curve Arrondo Esteban, Enrique Bertolini, Marina Turrini, Cristina Ballico, Edoardo A congruence of lines is a (n−1)-dimensional family of lines in Pn (over C), i.e. a variety Y of dimension (and hence of codimension) n − 1 in the Grassmannian Gr(1, Pn). A fundamental curve for Y is a curve C Pn which meets all the lines of Y . In this paper the authors classify all smooth congruences with fundamental curve C generalizing a paper by E. Arrondo and M. Gross [Manuscr. 79, No. 3-4, 283-298 (1993; Zbl 0803.14019)], where the case n = 3 was treated. An explicit construction for all possible congruences that they found is also given. 2023-06-20T21:05:35Z 2023-06-20T21:05:35Z 2023-06-20T21:05:35Z 1994 book part https://hdl.handle.net/20.500.14352/60669 XXXX-XXXX eng Lect. Notes Pure Appl. Math open access Dekker