Point Correspondences between N + 1 Hypersurfaces of Projective Spaces and (N + 1)-Webs

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 single 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.

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V. Bolodurin, "Point Correspondences between N + 1 Hypersurfaces of Projective Spaces and (N + 1)-Webs," Applied Mathematics, Vol. 4 No. 11D, 2013, pp. 14-22. doi: 10.4236/am.2013.411A4003.

Conflicts of Interest

The authors declare no conflicts of interest.

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