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The Classification of Hyperelliptic Groups in Dimension 4

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arxiv 2211.07998 v1 pith:BQMVKES6 submitted 2022-11-15 math.AG math.CVmath.RT

classification math.AGmath.CVmath.RT
keywords hyperellipticclassificationgroupsarisedimensiondimensionaldimensionsfull
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Hyperelliptic manifolds are natural generalizations of hyperelliptic surfaces in dimensions. We provide a full classification of the groups, which arise as the holonomy group of a 4-dimensional hyperelliptic manifold. The classification is mostly based on group- and representation-theoretic methods.

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Cited by 1 Pith paper

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  1. The Albanese morphism for hyperelliptic varieties

    math.AG 2024-11 accept novelty 7.0 of 10

    The Albanese variety and Albanese fibers of a hyperelliptic variety X=A/G are explicitly described as (A0/K0)/G and ({a0}+A1)/H, yielding new indecomposability results for derived categories.

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