Non algebraicity of universal cover of Kähler surfaces

Details Non algebraicity of universal cover of Kähler surfaces Non algebraicity of universal cover of Kähler surfaces

2010-01-14

arxiv.org/abs/1001.2379v1

Mathematics

Algebraic Geometry

7 pages, no figure

Scientific paper

In this short note, we study compact K\"ahler surfaces whose universal cover
can be realized as a quasi-projective (or quasi-K\"ahler) surface. In
particular, we show that such a surface is a quotient of a torus if the
universal cover is affine.

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