3 citations · 6 across the 3 of their papers we have counts for
4 papers
Iteration and the Minimal Resultant
Kenneth Jacobs, Phillip Williams
Let be an algebraically closed field that is complete with respect to a non-Archimedean absolute value, and let have degree . We characterize maps for whic…
Automorphism loci for the moduli space of rational maps
Nikita Miasnikov, Brian Stout, Phillip Williams
Let be an algebraically closed field of characteristic and the moduli space of rational maps on of degree over . This paper describes…
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…
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…