15 citations · 28 across the 11 of their papers we have counts for
12 papers
Taming Genus 0 (or 1) components on variables-separated equations
Michael D. Fried
To figure properties of a curve of form you must address the genus 0 and 1 components of its projective normalization . For …
Diophantine statements over Residue fields: Galois stratification and uniformity
Michael D. Fried
Using Felgner's problem I revisit a key issue in using the "Galois Stratification Procedure" that first appeared in [FrS76]. The emphasis here is on using arithmetic homotopy to ma…
Moduli relations between l-adic representations and the regular inverse Galois problem
Michael David Fried
There are two famous Abel Theorems. Most well-known is his description of abelian (analytic) functions on a one dimensional compact complex torus. The other collects together those…
Introduction to moduli, l-adic representations and the Regular Version of the Inverse Galois Problem
Michael D. Fried
Sect 1 introduces Nielsen classes attached to (G,C), where C is r conjugacy classes in a finite group G, and a braid action on them. These give reduced Hurwitz spaces, denoted H(G,…
Schinzel's Problem: Imprimitive covers and the monodromy method
Michael D. Fried, Ivica Gusic
Schinzel's original problem was to describe when an expression f(x)-g(y), with f,g nonconstant and having complex coefficients, is reducible. We call such an (f,g) a Schinzel pair…
Variables separated equations: Strikingly different roles for the Branch Cycle Lemma and the Finite Simple Group Classification
Michael d. Fried
H. Davenport's Problem asks: What can we expect of two polynomials, over the integers, with the same ranges on almost all residue class fields? This stood out among many separated…