On Quasi‐Hermitian Varieties | Zendy

Aguglia A. | Zendy; Cossidente A. | Zendy; Korchmáros G. | Zendy

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On Quasi‐Hermitian Varieties

Author(s) -

Aguglia A.,

Cossidente A.,

Korchmáros G.

Publication year - 2012

Publication title -

journal of combinatorial designs

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.618

H-Index - 34

eISSN - 1520-6610

pISSN - 1063-8539

DOI - 10.1002/jcd.21317

Subject(s) - mathematics , hermitian matrix , isomorphism (crystallography) , hyperplane , variety (cybernetics) , intersection (aeronautics) , combinatorics , construct (python library) , pure mathematics , statistics , computer science , programming language , chemistry , crystal structure , engineering , crystallography , aerospace engineering

Quasi‐Hermitian varieties V inPG ( r , q 2 ) are combinatorial generalizations of the (nondegenerate) Hermitian variety H ( r , q 2 ) so that V and H ( r , q 2 ) have the same size and the same intersection numbers with hyperplanes. In this paper, we construct a new family of quasi‐Hermitian varieties. The isomorphism problem for the associated strongly regular graphs is discussed for r = 2 .

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