scholarly journals Local mixing on abelian covers of hyperbolic surfaces with cusps

2020 ◽  
pp. 1
Author(s):  
Wenyu Pan
Keyword(s):  
Hyperbolic Surfaces ◽  
Abelian Covers

Geometric Schottky groups and non-compact hyperbolic surfaces with infinite genus

2021 ◽  
Vol 76 ◽  
pp. 101752
Author(s):  
John A. Arredondo ◽  
Camilo Ramírez Maluendas
Keyword(s):  
Schottky Groups ◽  
Hyperbolic Surfaces

scholarly journals Horospheres on abelian covers

1998 ◽  
Vol 29 (1) ◽  
pp. 195-195
Author(s):  
Fran�ois Ledrappier
Keyword(s):  
Abelian Covers

scholarly journals Distribution of points on Abelian covers over finite fields

2018 ◽  
Vol 14 (05) ◽  
pp. 1375-1401 ◽  
Author(s):  
Patrick Meisner
Keyword(s):  
Finite Fields ◽  
Galois Extension ◽  
Random Variables ◽  
Families Of Curves ◽  
Abelian Covers ◽  
Distribution Of Points ◽  
Genus Formula

We determine in this paper the distribution of the number of points on the covers of [Formula: see text] such that [Formula: see text] is a Galois extension and [Formula: see text] is abelian when [Formula: see text] is fixed and the genus, [Formula: see text], tends to infinity. This generalizes the work of Kurlberg and Rudnick and Bucur, David, Feigon and Lalin who considered different families of curves over [Formula: see text]. In all cases, the distribution is given by a sum of [Formula: see text] random variables.

Asymptotic Estimates of the First Eigenvalue of the p-Laplacian

2003 ◽  
Vol 3 (2) ◽  
Author(s):  
Bruno Colbois ◽  
Ana-Maria Matei
Keyword(s):  
Direct Application ◽  
Parameter Family ◽  
Precise Estimate ◽  
First Eigenvalue ◽  
Asymptotic Estimates ◽  
Hyperbolic Surfaces ◽  
The First Eigenvalue

AbstractWe consider a 1-parameter family of hyperbolic surfaces M(t) of genus ν which degenerate as t → 0 and we obtain a precise estimate of λAs a direct application, we obtain that the quotientTo prove our results we use in an essential way the geometry of hyperbolic surfaces which is very well known. We show that an eigenfunction for λ

scholarly journals Isometry groups of infinite-genus hyperbolic surfaces

2021 ◽  
Author(s):  
Tarik Aougab ◽  
Priyam Patel ◽  
Nicholas G. Vlamis
Keyword(s):  
Hyperbolic Surfaces ◽  
Isometry Groups

scholarly journals Selberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces

2005 ◽  
pp. 483-515 ◽  
Author(s):  
David Borthwick ◽  
Chris Judge ◽  
Peter Perry
Keyword(s):  
Zeta Function ◽  
Spectral Geometry ◽  
Hyperbolic Surfaces ◽  
Geometrically Finite ◽  
Selberg’S Zeta Function

scholarly journals Automorphisms and moduli spaces of varieties with ample canonical class via deformations of abelian covers

1997 ◽  
Vol 25 (5) ◽  
pp. 1413-1441 ◽  
Author(s):  
Barbara Fantechi ◽  
Rita Pardini
Keyword(s):  
Moduli Spaces ◽  
Canonical Class ◽  
Abelian Covers

Hyperbolic surfaces

1997 ◽  
pp. 49-77
Author(s):  
Christoph Hummel
Keyword(s):  
Hyperbolic Surfaces

scholarly journals On the minimal diameter of closed hyperbolic surfaces

2020 ◽  
Author(s):  
Thomas Budzinski ◽  
Nicolas Curien ◽  
Bram Petri
Keyword(s):  
Hyperbolic Surfaces ◽  
Minimal Diameter
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