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Title: Eckardt loci on hypersurfaces
Authors: Coskun, Izzet
Prendergast-Smith, Artie
Issue Date: 2015
Publisher: Taylor & Francis
Citation: COSKUN, I. and PRENDERGAST-SMITH, A., 2015. Eckardt loci on hypersurfaces. Communications in Algebra, 43(8), pp. 3083-3101.
Abstract: 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.
Description: 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/10.1080/00927872.2014.910798
Sponsor: 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.
Version: Accepted for publication
DOI: 10.1080/00927872.2014.910798
URI: https://dspace.lboro.ac.uk/2134/17284
Publisher Link: http://dx.doi.org/10.1080/00927872.2014.910798
ISSN: 1532-4125
Appears in Collections:Published Articles (Maths)

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