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Arrondo Esteban, Enrique
(2002)
*Line Congruences of Low Order.*
Milan Journal of Mathematics, 70
(1).
pp. 223-243.
ISSN 1424-9286

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Official URL: http://www.springerlink.com/content/1424-9286/

## 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 |
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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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