RT Journal Article
T1 Focal loci in G(1,N)
A1 Arrondo Esteban, Enrique
A1 Bertolini, Marina
A1 Turrini, Cristina
AB We introduce the different focal loci (focal points, planes and hyperplanes) of (n - 1)-dimensional families (congruences) of lines in P-n and study their invariants, geometry and the relation among them. We also study some particular congruences whose focal loci have special behaviour, namely (n - 1)-secant lines to an (n - 2)-fold and (n - 1)-tangent lines to a hypersurface. In case n = 4 we also give, under some smoothness assumptions, a classification result for these congruences.
PB International Press
SN 1093-6106
YR 2005
FD 2005-12
LK https://hdl.handle.net/20.500.14352/49831
UL https://hdl.handle.net/20.500.14352/49831
LA eng
DS Docta Complutense
RD 4 abr 2025