Examples of non-K\"{a}hler Calabi-Yau 3-folds with arbitrarily large $b_2$

Kenji Hashimoto; Taro Sano

Examples of non-K\"{a}hler Calabi-Yau 3-folds with arbitrarily large $b_2$

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arxiv 1902.01027 v2 pith:N7PRU4ZB submitted 2019-02-04 math.AG math.DG

Kenji Hashimoto , Taro Sano This is my paper · ORCID

classification math.AGmath.DG

keywords arbitrarilycalabi-yaufoldshlerlargenon-kbetticonnected

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We construct non-K\"{a}hler simply connected Calabi-Yau 3-folds with arbitrarily large 2nd Betti numbers by smoothing normal crossing varieties with trivial dualizing sheaves.

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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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