%0 DATA
%A Izzet, Coskun
%A Artie, Prendergast
%D 2015
%T Eckardt loci on hypersurfaces
%U https://repository.lboro.ac.uk/articles/Eckardt_loci_on_hypersurfaces/9385211
%2 https://repository.lboro.ac.uk/ndownloader/files/16998404
%K untagged
%X We compute the dimensions and cohomology classes of the loci on a general hypersurface where the second fundamental
form has rank at most r. We also determine the number of hypersurfaces in a general pencil in P
n, with n =
`q+1
2
´
,
that contain a point where the second fundamental form has rank n − 1 − q. These results generalize many classical formulae.