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Properties of point correspondences between three multidimensional surfaces of projective spaces

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Abstract

For a correspondence in question, we establish a sequence of fundamental geometric objects, construct invariant normalizations of the surfaces, and single out basic tensors. We also establish a connection between the geometry of correspondences in question and the theory of multidimensional three-webs.

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Authors and Affiliations

  1. Orenburg State Pedagogical University, ul. Sovetskaya 19, Orenburg, 460014, Russia

    V. S. Bolodurin

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  1. V. S. Bolodurin
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Correspondence to V. S. Bolodurin.

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Original Russian Text © V.S. Bolodurin, 2013, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, No. 9, pp. 3–15.

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Bolodurin, V.S. Properties of point correspondences between three multidimensional surfaces of projective spaces. Russ Math. 57, 1–11 (2013). https://doi.org/10.3103/S1066369X13090016

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  • DOI: https://doi.org/10.3103/S1066369X13090016

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