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A tower of coverings of quasi-projective varieties

Authors: Yeung, Sai-Kee;

A tower of coverings of quasi-projective varieties

Abstract

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.

Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
Green
hybrid