51 citations · 372 across the 56 of their papers we have counts for
12 papers · 1 filter
Monodromy groups of product type
Danny Neftin, Michael E. Zieve
The combination of this paper and its companion complete the classification of monodromy groups of indecomposable coverings of complex curves of suffic…
Monodromy groups of indecomposable coverings of bounded genus
Danny Neftin, Michael E. Zieve
For each nonnegative integer , we classify the ramification types and monodromy groups of indecomposable coverings of complex curves where has genus , under t…
The relative Riemann-Hurwitz formula
Zhiguo Ding, Michael E. Zieve
For any nonconstant f,g in C(x) such that the numerator H(x,y) of f(x)-g(y) is irreducible, we compute the genus of the normalization of the curve H(x,y)=0. We also prove an analog…
On factorizations of maps between curves
Dijana Kreso, Michael E. Zieve
We examine the different ways of writing a cover of curves over a field as a composition , where each is a cover of…
Separated Belyi Maps
Zachary Scherr, Michael E. Zieve
We construct Belyi maps having specified behavior at finitely many points. Specifically, for any curve C defined over Q-bar, and any disjoint finite subsets S, T in C(Q-bar), we co…
On Ritt's polynomial decomposition theorems
Michael E. Zieve, Peter Mueller
Ritt studied the functional decomposition of a univariate complex polynomial f into prime (indecomposable) polynomials, f = u_1 o u_2 o ... o u_r. His main achievement was a proced…