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.

On a class of first order congruences of lines

MEZZETTI, EMILIA
2009-01-01

Abstract

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.
2009
http://projecteuclid.org/euclid.bbms/1260369400
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2301424
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