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Eckardt loci on hypersurfaces
journal contribution
posted on 2015-04-17, 08:20 authored by Izzet Coskun, Artie PrendergastArtie PrendergastWe 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.
Funding
During the preparation of this article the first author was partially supported by the NSF CAREER grant DMS-0950951535, and an Alfred P. Sloan Foundation Fellowship.
History
School
- Science
Department
- Mathematical Sciences
Published in
Communications in AlgebraCitation
COSKUN, I. and PRENDERGAST-SMITH, A., 2015. Eckardt loci on hypersurfaces. Communications in Algebra, 43(8), pp. 3083-3101.Publisher
Taylor & FrancisVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2015Notes
This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 4th Jun 2015, available online: http://dx.doi.org/10.1080/00927872.2014.910798ISSN
1532-4125Publisher version
Language
- en
