3 papers
math.AG2025
A class of geometrically elliptic fibrations by plane projective quartic curves
Cesar Hilario, Karl Otto Stöhr
We investigate fibrations by non-hyperelliptic curves of arithmetic genus three and geometric genus one in characteristic two. Assuming that there is only one moving singularity an…
math.AG2024
Fibrations by plane projective rational quartic curves in characteristic two
Cesar Hilario, Karl-Otto Stöhr
We give a complete classification, up to birational equivalence, of all fibrations by plane projective rational quartic curves in characteristic two.
math.AG2024
Turning non-smooth points into rational points
Cesar Hilario
In a recent paper, the author and Stöhr established a bound on the number of iterated Frobenius pullbacks needed to transform a non-smooth purely inseparable point on a regular geo…