
arXiv: 1204.5779
The main goal of this article is to relate asymptotic geometric properties on a tower of coverings of a non-compact Kähler manifold of finite volume with reasonable geometric assumptions to its universal covering. Applicable examples include moduli spaces of hyperbolic punctured Riemann surfaces and Hermitian locally symmetric spaces of finite volume.
Transcendental methods of algebraic geometry (complex-analytic aspects), Cohomology of arithmetic groups, tower of coverings, Mathematics(all), Mathematics - Complex Variables, Non-compact manifolds, Bergman kernels, Cohomology, non-compact manifolds, Mathematics - Algebraic Geometry, FOS: Mathematics, cohomology, Complex Variables (math.CV), Tower of coverings, Algebraic Geometry (math.AG)
Transcendental methods of algebraic geometry (complex-analytic aspects), Cohomology of arithmetic groups, tower of coverings, Mathematics(all), Mathematics - Complex Variables, Non-compact manifolds, Bergman kernels, Cohomology, non-compact manifolds, Mathematics - Algebraic Geometry, FOS: Mathematics, cohomology, Complex Variables (math.CV), Tower of coverings, Algebraic Geometry (math.AG)
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