TITLE:
Point Correspondences between N + 1 Hypersurfaces of Projective Spaces and (N + 1)-Webs
AUTHORS:
V. S. Bolodurin
KEYWORDS:
Hupersurface; Point Correspondence; Invariant Normalization; Multidimensional (n + 1)-Webs
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.11D,
November
29,
2013
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.