On a class of first order congruences of lines
De Poi, Pietro ; Mezzetti, Emilia
Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 805-821 / Harvested from Project Euclid
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We study a class of new examples of congruences of lines of order one, i.e. the congruences associated to the completely exceptional Monge-Ampère equations. We prove that they are in general not linear, and that through a general point of the focal locus there passes a planar pencil of lines of the congruence. In particular, the completely exceptional Monge-Ampère equations are of Temple type.
Publié le : 2009-12-15
Classification:  Congruences of lines,  completely exceptional Monge-Ampère equations,  14M15,  53A25,  14M07 
@article{1260369400,
     author = {De Poi, Pietro and Mezzetti, Emilia},
     title = {On a class of first order congruences of lines},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 805-821},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1260369400}
}

De Poi, Pietro; Mezzetti, Emilia. On a class of first order congruences of lines. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp.  805-821. http://gdmltest.u-ga.fr/item/1260369400/