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On the intersection of Hermitian curves and of Hermitian surfaces

Donati, G.; Durante, N.

Discrete mathematics. VOL 308; NUMBER 22, ; 2008, 5196-5203 -- Elsevier Science B.V., Amsterdam. (pages 5196-5203) -- 2008

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  • Title:
    On the intersection of Hermitian curves and of Hermitian surfaces
  • Author: Donati, G.;
    Durante, N.
  • Found In: Discrete mathematics. VOL 308; NUMBER 22, ; 2008, 5196-5203
  • Journal Title: Discrete mathematics.
  • Subjects: Mathematics; LCC: QA1; Dewey: 510
  • Publication Details: Elsevier Science B.V., Amsterdam.
  • Language: English
  • Abstract: Kestenband [Unital intersections in finite projective planes, Geom. Dedicata 11(1) (1981) 107-117; Degenerate unital intersections in finite projective planes, Geom. Dedicata 13(1) (1982) 101-106] determines the structure of the intersection of two Hermitian curves of Formula Not Shown , degenerate or not. In this paper we give a new proof of Kestenbands results. Giuzzi [Hermitian varieties over finite field, Ph.D. Thesis, University of Sussex, 2001] determines the structure of the intersection of two non-degenerate Hermitian surfaces Formula Not Shown and Formula Not Shown of Formula Not Shown when the Hermitian pencil defined by Formula Not Shown and Formula Not Shown contains at least one degenerate Hermitian surface. We give a new proof of Giuzzis results and we obtain some new results in the open case when all the Hermitian surfaces of the Hermitian pencil are non-degenerate.
  • Identifier: Journal ISSN: 0012-365X
  • Publication Date: 2008
  • Physical Description: Electronic
  • Shelfmark(s): 3597.030000
  • UIN: ETOCRN236219021

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