English

On a problem of Piatetski-Shapiro and Shafarevich

Algebraic Geometry 2011-11-28 v1 Complex Variables

Abstract

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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Cite

@article{arxiv.1111.5929,
  title  = {On a problem of Piatetski-Shapiro and Shafarevich},
  author = {Robert Treger},
  journal= {arXiv preprint arXiv:1111.5929},
  year   = {2011}
}

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5 pages