Eckardt loci on hypersurfaces
Izzet Coskun
Artie Prendergast
2134/17284
https://repository.lboro.ac.uk/articles/Eckardt_loci_on_hypersurfaces/9385211
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.
2015-04-17 08:20:35
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