scientific article; zbMATH DE number 7809966
From MaRDI portal
Publication:6121746
arXiv2208.09533MaRDI QIDQ6121746
Publication date: 27 February 2024
Full work available at URL: https://arxiv.org/abs/2208.09533
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
imprimitive groupsRiemann's existence theoremNielsen classesfactorization of variables separated polynomialsSchinzel's problemDavenport's problemgenus 0 groupsPakovich's theorem
Separable extensions, Galois theory (12F10) Compact Riemann surfaces and uniformization (30F10) Polynomials in real and complex fields: factorization (12D05) Extensions, wreath products, and other compositions of groups (20E22) Primitive groups (20B15) Field arithmetic (12E30) Fine and coarse moduli spaces (14D22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variables separated equations: strikingly different roles for the branch cycle lemma and the finite simple group classification
- Alternating groups and moduli space lifting invariants
- Schur covers and Carlitz's conjecture
- The inverse Galois problem and rational points on moduli spaces
- On a diophantine equation concerning the number of integer points in special domains
- On algebraic curves \(A(x)-B(y)=0\) of genus zero
- Theta functions on Riemann surfaces
- Reducibility behavior of polynomials with varying coefficients
- On a conjecture of Schur
- On curves with separated variables
- The field of definition of function fields and a problem in the reducibility of polynomials in two variables
- The place of exceptional covers among all diophantine relations
- Genus one curves defined by separated variable polynomials and a polynomial Pell equation
- On rational functions whose normalization has genus zero or one
- ON A GENERALIZATION OF THE NOTION OF MANIFOLD
- Symmetric and alternating groups as monodromy groups of Riemann surfaces. I. Generic covers and covers with many branch points
- SOLUTION OF THE HURWITZ PROBLEM FOR LAURENT POLYNOMIALS
- Irreducibility of Moduli Spaces of Cyclic Unramified Covers of Genus g Curves
- Fields of definition of function fields and hurwitz families — groups as galois groups
- Galois Groups and Complex Multiplication
- Factorisations explicites de g(y) - h(z)
- On a theorem of Ritt and related Diophantine problems.
- The Equation f(X) = f(Y) in Rational Functions X = X(t), Y = Y(t)
- The Diophantine equation f(x) = g(y)
- Relating two genus 0 problems of John Thompson
- Quadratic factors of f(x) -g(y)
- The rational function analogue of a question of Schur and exceptionality of permutation representations
- Explicit formulas for strong Davenport pairs
- On the equation $y^m=f(x)$
- HARBATER–MUMFORD COMPONENTS AND TOWERS OF MODULI SPACES
- Arithmetical properties of function fields (II). The generalized Schur problem
- EQUATIONS OF THE FORM f(x)=g(y)
- Maximal subgroups of finite groups