Arrondo Esteban, Enrique (2002) Line Congruences of Low Order. Milan Journal of Mathematics, 70 (1). pp. 223-243. ISSN 1424-9286
Official URL: 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.
|Uncontrolled Keywords:||Grassmannians, Schubert varieties|
|Subjects:||Sciences > Mathematics > Algebra|
|Deposited On:||28 Mar 2011 12:56|
|Last Modified:||28 Mar 2011 12:56|
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