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An example of non-K\"ahler Calabi-Yau fourfold

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arxiv 2102.12656 v2 pith:A7CHDUU2 submitted 2021-02-25 math.AG

classification math.AG
keywords ahlercalabi-yauexamplefourfoldnon-kconstructingcrossingexists
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We show that there exists a non-K\"ahler Calabi-Yau fourfold, constructing an example by smoothing a normal crossing variety.

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  1. Smoothing toroidal crossing spaces

    math.AG 2019-08 conditional novelty 8.0 of 10

    A proof that toroidal crossing spaces with a simple logarithmic section and a transverse anticanonical divisor admit smoothings, together with a proof of Danilov's Hodge-de Rham degeneration conjecture.

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