1 citations · 1 across the 2 of their papers we have counts for
4 papers
Analogs of the Shapiro Shapiro Conjecture in Positive Characteristic
Ryan Eberhart
Motivated by the Shapiro Shapiro conjecture, we consider the following: given a field , under what conditions must a rational function with only -rational ramification points…
Arithmetic descent of specializations of Galois covers
Ryan Eberhart, Hilaf Hasson
Given a -Galois branched cover of the projective line over a number field , we study whether there exists a closed point of with a connected fiber such that…
Families and moduli of covers with specified ramification
Ryan Eberhart
We study branched covers of curves with specified ramification points, under a notion of equivalence derived from linear series. In characteristic 0, no non-constant families of co…
Galois branched covers with fixed ramification locus
Ryan Eberhart
We examine conditions under which there exists a non-constant family of Galois branched covers of curves over an algebraically closed field of fixed degree and fixed ramificati…