## Innovations in Incidence Geometry

### On the intersection of Hermitian surfaces

#### Abstract

Giuzzi (2006) and Donati and Duranti (2008) determined the structure of the intersection of two Hermitian surfaces of $PG ( 3 , q 2 )$ 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 $PG ( 3 , q 2 )$ generating a non-degenerate pencil.

#### Article information

Source
Innov. Incidence Geom., Volume 6-7, Number 1 (2007), 153-167.

Dates
Accepted: 15 February 2008
First available in Project Euclid: 28 February 2019

https://projecteuclid.org/euclid.iig/1551323176

Digital Object Identifier
doi:10.2140/iig.2008.6.153

Mathematical Reviews number (MathSciNet)
MR2515264

Zentralblatt MATH identifier
1183.51001

Keywords
Hermitian curve Hermitian surface

#### Citation

Durante, Nicola; Ebert, Gary. On the intersection of Hermitian surfaces. Innov. Incidence Geom. 6-7 (2007), no. 1, 153--167. doi:10.2140/iig.2008.6.153. https://projecteuclid.org/euclid.iig/1551323176

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