Now showing items 1-2 of 2

    • 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 ...
    • Level structures on Abelian varieties, Kodaira dimensions, and Lang's conjecture 

      Abramovich, Dan; Várilly-Alvarado, Anthony (2018)
      Assuming Lang's conjecture, we prove that for a prime p, number field K, and positive integer g, there is an integer r such that no principally polarized abelian variety A/K has full level-pr structure. To this end, we use ...