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    • Cubic fourfolds containing a plane and a quantic del Pezzo surface 

      Auel, Asher; Bernardara, Marcello; Bolognesi, Michele; Várilly-Alvarado, Anthony (2014)
      We isolate a class of smooth rational cubic fourfolds X containing a plane whose associated quadric surface bundle does not have a rational section. This is equivalent to the nontriviality of the Brauer class β of the even ...