English

P-adic lattices are not K\"ahler groups

Group Theory 2023-06-22 v3 Algebraic Geometry

Abstract

In this note we show that any lattice in a simple p-adic Lie group is not the fundamental group of a compact Ka\"hler manifold, as well as some variants of this result.

Cite

@article{arxiv.1710.07945,
  title  = {P-adic lattices are not K\"ahler groups},
  author = {Bruno Klingler},
  journal= {arXiv preprint arXiv:1710.07945},
  year   = {2023}
}

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Final version

R2 v1 2026-06-22T22:21:50.536Z