Vol. 6+7, No. 1, 2008

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On the intersection of Hermitian surfaces

Nicola Durante and Gary L. Ebert

Vol. 6+7 (2008), No. 1, 153–167
DOI: 10.2140/iig.2008.6.153

Giuzzi (2006) and Donati and Duranti (2008) determined the structure of the intersection of two Hermitian surfaces of PG(3,q2) under the hypotheses that in the pencil they generate there is at least one degenerate surface. Aguglia, Cossidente and Ebert (2005) and Donati and Duranti (2008) showed that under suitable hypotheses the intersection of two Hermitian surfaces generating a non-degenerate pencil is a pseudo-regulus. Here we completely determine all possible intersection configurations for two Hermitian surfaces of PG(3,q2) generating a non-degenerate pencil.

Hermitian curve, Hermitian surface
Mathematical Subject Classification 2000
Primary: 05B25, 51E20
Received: 7 November 2007
Accepted: 15 February 2008
Nicola Durante
Gary L. Ebert
University of Delaware
United States