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The Classification of Rigid Hyperelliptic Fourfolds

Algebraic Geometry 2023-01-11 v2 Complex Variables Representation Theory

Abstract

We provide a fine classification of rigid hyperelliptic manifolds in dimension four up to biholomorphism and diffeomorphism. These manifolds are explicitly described as finite \'etale quotients of a product of four Fermat elliptic curves.

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Cite

@article{arxiv.2201.08138,
  title  = {The Classification of Rigid Hyperelliptic Fourfolds},
  author = {Andreas Demleitner and Christian Gleissner},
  journal= {arXiv preprint arXiv:2201.08138},
  year   = {2023}
}

Comments

22 pages, MAGMA code on personal homepage

R2 v1 2026-06-24T08:56:28.789Z