11 citations · 18 across the 4 of their papers we have counts for
4 papers
Semi-stable Reduction Implies Minimality of the Resultant
Lucien Szpiro, Michael Tepper, Phillip Williams
For a dynamical system on n-dimensional projective space over a number field or a function field, we show that semi-stable reduction implies the minimality of the resultant. We use…
Multiplier Spectra and the Moduli Space of Degree 3 Morphisms on P1
Benjamin Hutz, Michael Tepper
The moduli space of degree morphisms on has received much study. McMullen showed that, except for certain families of Lattès maps, there is a finite-to-one corre…
Resultant and conductor of geometrically semi-stable self maps of the projective line over a number field or function field
Lucien Szpiro, Michael Tepper, Phillip Williams
We study the minimal resultant divisor of self-maps of the projective line over a number field or a function field and its relation to the conductor. The guiding focus is the explo…
Isotriviality is equivalent to potential good reduction for endomorphisms of over function fields
Clayton Petsche, Lucien Szpiro, Michael Tepper
Let be the function field of a complete nonsingular curve over an arbitrary field . The main result of this paper states that a morphism $ϕ:{\mathbb P}^N_K\to{\math…