On a problem of Piatetski-Shapiro and Shafarevich

Details On a problem of Piatetski-Shapiro and Shafarevich On a problem of Piatetski-Shapiro and Shafarevich

2011-11-25

arxiv.org/abs/1111.5929v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

We revisit a classical paper by Piatetski-Shapiro and Shafarevich on
algebraic approach to uniformization and provide a partial solution of the
problem, namely, whether the existence of proalgebraic quasi-homogeneous
coverings of general type is the characteristic property of algebraic varieties
whose universal coverings are bounded symmetric domains.

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