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Examples of non-Kähler Calabi–Yau manifolds with arbitrarily large b2

Sano, Taro 佐野, 太郎 サノ, タロウ 神戸大学

2021.12

概要

We construct non-Kähler Calabi–Yau manifolds of dimension ⩾ 4 with arbitrarily large 2nd Betti numbers by smoothing normal crossing varieties. The examples have K3 fibrations over smooth projective varieties and their algebraic dimensions are of codimension 2.

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Department of Mathematics, Faculty of Science, Kobe University, Kobe,

657-8501, Japan

Email address: tarosano@math.kobe-u.ac.jp

...

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