Galois coverings of the arithmetic line

1987 ◽  
pp. 165-195 ◽  
Author(s):  
David Harbater
Keyword(s):  
Galois Coverings

Preliminaries

2017 ◽  
Author(s):  
Ehud Hrushovski ◽  
François Loeser
Keyword(s):  
Valued Fields ◽  
Definable Set ◽  
Valued Field ◽  
Galois Coverings ◽  
Definable Type ◽  
Definable Sets ◽  
Background Material

This chapter provides some background material on definable sets, definable types, orthogonality to a definable set, and stable domination, especially in the valued field context. It considers more specifically these concepts in the framework of the theory ACVF of algebraically closed valued fields and describes the definable types concentrating on a stable definable V as an ind-definable set. It also proves a key result that demonstrates definable types as integrals of stably dominated types along some definable type on the value group sort. Finally, it discusses the notion of pseudo-Galois coverings. Every nonempty definable set over an algebraically closed substructure of a model of ACVF extends to a definable type.

On prime galois coverings of the Riemann sphere

1995 ◽  
Vol 168 (1) ◽  
pp. 1-15 ◽  
Author(s):  
Gabino González-Diez
Keyword(s):  
Riemann Sphere ◽  
Galois Coverings

On Dihedral Galois Coverings Arising from Lissajous’s Curves

2008 ◽  
Vol 91 (1-2) ◽  
pp. 63-72 ◽  
Author(s):  
Kei Miura
Keyword(s):  
Galois Coverings

Loci of Curves Which are Prime Galois Coverings of P1

1991 ◽  
Vol s3-62 (3) ◽  
pp. 469-489 ◽  
Author(s):  
Gabino González Díez
Keyword(s):  
Galois Coverings

scholarly journals Morse inequalities for covering manifolds

2001 ◽  
Vol 163 ◽  
pp. 145-165 ◽  
Author(s):  
Radu Todor ◽  
Ionuţ Chiose ◽  
George Marinescu
Keyword(s):  
Line Bundles ◽  
Invariant Line ◽  
Complex Structures ◽  
Von Neumann ◽  
Holomorphic Sections ◽  
Galois Coverings ◽  
Von Neumann Dimension ◽  
The Stability ◽  
Bounded Below ◽  
Lefschetz Theorems

We study the existence of L2 holomorphic sections of invariant line bundles over Galois coverings. We show that the von Neumann dimension of the space of L2 holomorphic sections is bounded below under weak curvature conditions. We also give criteria for a compact complex space with isolated singularities and some related strongly pseudoconcave manifolds to be Moishezon. As applications we prove the stability of the previous Moishezon pseudoconcave manifolds under perturbation of complex structures as well as weak Lefschetz theorems.

Construction techniques for Galois coverings of the affine line

1993 ◽  
Vol 103 (2) ◽  
Author(s):  
Shreeram S. Abhyankar ◽  
Herbert Popp ◽  
Wolfgang K. Seiler
Keyword(s):  
Construction Techniques ◽  
Galois Coverings ◽  
Affine Line

scholarly journals Shimura varieties in the Torelli locus via Galois coverings of elliptic curves

2015 ◽  
Vol 181 (1) ◽  
pp. 177-192 ◽  
Author(s):  
Paola Frediani ◽  
Matteo Penegini ◽  
Paola Porru
Keyword(s):  
Elliptic Curves ◽  
Shimura Varieties ◽  
Galois Coverings

ON FINITE BRANCHED UNIFORMIZATIONS OF THE PROJECTIVE PLANE

2013 ◽  
Vol 24 (02) ◽  
pp. 1350017
Author(s):  
A. MUHAMMED ULUDAĞ ◽  
CELAL CEM SARIOĞLU
Keyword(s):  
Projective Plane ◽  
Fundamental Group ◽  
Free Product ◽  
Plane Curve ◽  
Complex Projective Plane ◽  
Galois Covering ◽  
Cyclic Groups ◽  
Galois Coverings ◽  
Complex Projective ◽  
Branching Index

We give a brief survey of the so-called Fenchel's problem for the projective plane, that is the problem of existence of finite Galois coverings of the complex projective plane branched along a given divisor and prove the following result: Let p, q be two integers greater than 1 and C be an irreducible plane curve. If there is a surjection of the fundamental group of the complement of C into a free product of cyclic groups of orders p and q, then there is a finite Galois covering of the projective plane branched along C with any given branching index.

scholarly journals Cartan–Leray spectral sequence for Galois coverings of linear categories

2005 ◽  
Vol 284 (1) ◽  
pp. 310-325 ◽  
Author(s):  
Claude Cibils ◽  
María Julia Redondo
Keyword(s):  
Spectral Sequence ◽  
Galois Coverings ◽  
Leray Spectral Sequence
Sign in / Sign up

Export Citation Format

Share Document