Designs, Codes and Cryptography

, Volume 57, Issue 3, pp 347–360 | Cite as

On the intersection of a Hermitian curve with a conic

  • Giorgio Donati
  • Nicola Durante


Let \({\mathcal{H}}\) be a Hermitian curve and let Γ be a conic of PG(2, q 2). In this paper we determine the possible intersection configurations between Γ and \({\mathcal{H}}\) under the hypotheses that Γ and \({\mathcal{H}}\) either share two points with the same tangent lines or contain a common Baer subconic. Moreover, the intersection configurations between a degenerate Hermitian curve and a conic sharing a Baer subconic are also determined.


Hermitian curve Conic Baer subconic 

Mathematics Subject Classification (2000)

51E20 05B25 


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Dipartimento di Matematica e ApplicazioniUniversità di Napoli “Federico II”NapoliItaly

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