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oai:docta.ucm.es:20.500.14352/570362023-08-28T18:36:53Zcom_20.500.14352_14col_20.500.14352_15

Arrondo Esteban, Enrique 2023-06-20T16:47:45Z 2023-06-20T16:47:45Z 2002-09 1424-9286 10.1007/s00032-002-0008-4 https://hdl.handle.net/20.500.14352/57036 http://www.springerlink.com/content/1424-9286/ A line congruence is an irreducible subvariety of dimension n−1 in the Grassmannian of lines in Pn. There are two numerical invariants associated to a line congruence: the order, which is the number of lines passing through a general point of Pn, and the class, which is the number of lines of the congruence contained in a general hyperplaneH and meeting a general line inH. The paper reviews the classification of line congruences of order 0 and 1, and then gives some new results online congruences of order 2 in P3, which is a work in progress. The last section states some open questions. eng open access Line Congruences of Low Order journal article