A Remark on Isotrivial Families

  title={A Remark on Isotrivial Families},
  author={Jason Starr and A. J. de Jong},
In the paper [1], the second named author proved that you can reduce a specific problem on finding rational points on Brauer-Severi varieties or more precisely on “families of Grassmanians” to the case where the discriminant locus is empty. This is explained in Section 7 of that paper, allthough what is written there is somewhat technical. The new result in this note is that this is actually a completely general phenomenon that holds for “isotrivial” families, provided that the fibre has a… CONTINUE READING