Tower of coverings of quasi-projective varieties

Details Tower of coverings of quasi-projective varieties Tower of coverings of quasi-projective varieties

2012-04-25

arxiv.org/abs/1204.5779v1

Advances in Mathematics 230 (2012) 1196-1208

Mathematics

Algebraic Geometry

Scientific paper

10.1016/j.aim.2012.03.022

The main goal of this article is to relate asymptotic geometric properties on
a tower of coverings of a non-compact K\"ahler 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.

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