Abstract
We introduce the different focal loci (focal points, planes and hyperplanes) of \break (n-1)-dimensional families (congruences) of lines in ${\Bbb P}^{n}$ and study their invariants, geometry and the relation among them. We also study some particular congruences whose focal loci have special behavior, 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.
Citation
Enrique Arrondo. Marina Bertolini. Cristina Turrini. "Focal Loci in G(1,n)." Asian J. Math. 9 (4) 449 - 472, December 2005.
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