Free and Very Free Morphisms into a Fermat Hypersurface
  This paper studies the existence of free and very free curves on the degree 5 Fermat hypersurface in P^5 over a field of characteristic 2. We find that such curves exist in degrees 8 and 9 and not in lower degrees. 
Tabes Bridges, Rankeya Datta, Joseph Eddy, Michael Newman, John Yu
math.AG