Geodesic
Properties of point correspondences between three multidimensional surfaces of projective spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2013), pp. 3-15

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We define a sequence of fundamental geometrical objects of correspondences and find invariant normalizations of surfaces and tensors of correspondences. We establish a connection of correspondences under consideration with the theory of multidimensional $3$-webs.
Keywords: multidimensional surface, point correspondence, invariant normalization, multidimensional $3$-webs. 
@article{IVM_2013_9_a0,
     author = {V. S. Bolodurin},
     title = {Properties of point correspondences between three multidimensional surfaces of projective spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--15},
     publisher = {mathdoc},
     number = {9},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_9_a0/}
}
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V. S. Bolodurin. Properties of point correspondences between three multidimensional surfaces of projective spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2013), pp. 3-15. http://geodesic.mathdoc.fr/item/IVM_2013_9_a0/