This paper studies the existence of free and very free curves on the degree Fermat hypersurface in over an algebraically closed field of characteristic . We explicitly compute a free curve in degree , and a very free curve in degree . We also prove that free and very free curves cannot exist in lower degrees.
"Free and very free morphisms into a Fermat hypersurface." Involve 6 (4) 437 - 445, 2013. https://doi.org/10.2140/involve.2013.6.437