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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 12, Pages 16–29 (Mi ivm8755)  
This article is cited in 3 scientific papers (total in 3 papers)

Projective-differential properties of point correspondences between three hypersurfaces

V. S. Bolodurin

Chair of Geometry, Orenburg State Pedagogical University, Orenburg, Russia
Full-text PDF (208 kB) Citations (3)
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Abstract: We study the point correspondences between three hypersurfaces in projective spaces with the help of G. F. Laptev invariant methods. We establish main equations and geometrical objects of correspondences. We construct invariant normalizations of hypersurfaces and main tensors of correspondences, and describe a connection of the studied correspondences with multidimensional $3$-webs.
Keywords: hypersurface, point correspondence, invariant normalizations, multidimensional $3$-webs.
Received: 27.10.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 12, Pages 13–24
DOI: https://doi.org/10.3103/S1066369X1212002X
Bibliographic databases:
Document Type: Article
UDC: 514.757
Language: Russian
Citation: V. S. Bolodurin, “Projective-differential properties of point correspondences between three hypersurfaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 12, 16–29; Russian Math. (Iz. VUZ), 56:12 (2012), 13–24
Citation in format AMSBIB
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\by V.~S.~Bolodurin
\paper Projective-differential properties of point correspondences between three hypersurfaces
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 12
\pages 16--29
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137106}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 12
\pages 13--24
\crossref{https://doi.org/10.3103/S1066369X1212002X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84872253533}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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