On the Sylvester-Gallai theorem for conics
  In the present note we give a new proof of a result due to Wiseman and Wilson which establishes an analogue of the Sylvester-Gallai theorem valid for curves of degree two. The main ingredients of the proof come from algebraic geometry. Specifically, we use Cremona transformation of the projective plane and Hirzebruch inequality. 
Adam Czaplinski, Marcin Dumnicki, Lucja Farnik, Janusz Gwozdziewicz,   Magdalena Lampa-Baczynska, Grzegorz Malara, Tomasz Sz...
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