Non-planar degenerations and related fundamental groups

Meirav Amram

Non-planar degenerations and related fundamental groups

Algebraic Geometry 2024-12-05 v5

Authors: Meirav Amram

Abstract

We present a preliminary investigation of algebraic surfaces that have non-planar degenerations, along with their Galois covers and fundamental groups. Specifically, we investigate the tetrahedron and the double tetrahedron. The resulting fundamental groups indicate that the tetrahedron and the double tetrahedron are in different components of the moduli space of algebraic surfaces.

Keywords

algebraic surfaces non-planar degenerations galois covers fundamental groups tetrahedron moduli space

Cite

@article{arxiv.2104.02781,
  title  = {Non-planar degenerations and related fundamental groups},
  author = {Meirav Amram},
  journal= {arXiv preprint arXiv:2104.02781},
  year   = {2024}
}

Comments

31 pages, 10 figures

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