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The Classification of Rigid Torus Quotients with Canonical Singularities in Dimension Three

Algebraic Geometry 2024-09-04 v1 Complex Variables Group Theory

Abstract

We provide a fine classification of rigid three-dimensional torus quotients with isolated canonical singularities, up to biholomorphism and diffeomorphism. This complements the classification of Calabi-Yau 3-folds of type III0\rm{III}_0, which are those quotients with Gorenstein singularities.

Keywords

Cite

@article{arxiv.2409.01050,
  title  = {The Classification of Rigid Torus Quotients with Canonical Singularities in Dimension Three},
  author = {Christian Gleissner and Julia Kotonski},
  journal= {arXiv preprint arXiv:2409.01050},
  year   = {2024}
}

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26 pages, MAGMA code on personal homepage