Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 61, No. 3, pp. 329-338 (2004)

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Congruences of lines with one-dimensional focal locus

Pietro De Poi

Mathematisches Institut, Universität Bayreuth, Lehrstuhl VIII,
Universitätsstraße 30, D-95447 Bayreuth - GERMANY
E-mail: depoi@mathsun1.univ.trieste.it

Abstract: In this article we obtain the classification of the congruences of lines with one-dimensional focal locus. It turns out that one can restrict to study the case of $\mathbb{P}^3$.

Keywords: algebraic geometry; focal loci; Grassmannians; congruences.

Classification (MSC2000): 14M15.; 51N35.

Full text of the article:

Electronic version published on: 7 Mar 2008.

© 2004 Sociedade Portuguesa de Matemática
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