Arrondo Esteban, Enrique (2002) Line Congruences of Low Order. Milan Journal of Mathematics, 70 (1). pp. 223243. ISSN 14249286

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Abstract
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.
Item Type:  Article 

Uncontrolled Keywords:  Grassmannians, Schubert varieties 
Subjects:  Sciences > Mathematics > Algebra 
ID Code:  12484 
Deposited On:  28 Mar 2011 10:56 
Last Modified:  06 Feb 2014 09:25 
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