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Point Correspondences between <i>N</i> + 1 Hypersurfaces of Projective Spaces and (<i>N</i> + 1)-Webs
Algebra and Geometry Department, Pedagogical University, Orenburg, Russia
- 1 Algebra and Geometry Department, Pedagogical University, Orenburg, Russia
Applied Mathematics·Volume 04 (2013)·Pages 14–22·Published 22 October 2013·DOI10.4236/am.2013.411A4003
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Abstract
For a correspondence in question we establish a sequence of fundamental geometrical objects of the correspondence and find invariant normalizations of the first and second orders of all hupersurfaces under the correspondence. We sin gle out main tensors of the correspondence and establish a connection between the geometry of point correspondences between n + 1 hypersurfaces of projective spaces and the theory of multidimensional ( n + 1) -webs.
KeywordsHupersurfacePoint CorrespondenceInvariant NormalizationMultidimensional (<i>n</i>+ 1)-Webs
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