3 papers
math.AG2026
Structure of the Components of the Fixed Locus of a Self-Map of the Berkovich Line
Xander Faber, Niladri Patra
We describe the local and global structure of the fixed locus for the action of a rational function on the Berkovich projective line over a complete nontrivially-valued algebraical…
math.NT2025
Ramified Approximation and Semistable Reduction
Xander Faber
Let be a complete discretely valued field. An extension is "weakly totally ramified" if the residue extension is purely inseparable. We sharpen a result of Ax by showing…
math.NT2024
Finite p-Irregular Subgroups of PGL(2,k)
Xander Faber
In the late 19th century, Klein inaugurated a program for describing the finite subgroups of by treating the case in which the field is the complex numbers. Gierster…