3 papers
math.AG2000
Projective generation and smoothness of congruences of order 1
Manuel Pedreira-Perez, Luis-Eduardo Sola-Conde
In this paper we give the projective generation of congruences of order 1 of r-dimensional projective spaces in P^N from their focal loci. In a natural way, this construction shows…
math.AG1999
Classification of Plane Congruences in P4(C) (II)
Manuel Pedreira-Perez, Luis-Eduardo Sola-Conde
We study second order focal loci of nondegenerate plane congruences in P4(C) with degenerate focal conic. We show the projective generation of such congruences when the second orde…
math.AG1999
Classification of Plane Congruences in P4(C) (I)
Manuel Pedreira-Perez, Luis-Eduardo Sola-Conde
Nondegenerate plane congruences in the four-dimensional complex projective space with degenerate general focal conic are classified by using the focal method due to Corrado Segre.