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Examples of non-Kähler Calabi–Yau 3–folds with arbitrarily large b₂

Hashimoto, Kenji Sano, Taro 神戸大学

2023.05.01

概要

We construct non-Kähler 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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Graduate School of Mathematical Sciences, The University of Tokyo

Tokyo, Japan

Department of Mathematics, Graduate School of Science, Kobe University

Kobe, Japan

hashi@ms.u-tokyo.ac.jp,

tarosano@math.kobe-u.ac.jp

Proposed: Lothar Göttsche

Seconded: Mark Gross, Paul Seidel

Received: 10 November 2020

Revised: 31 May 2021

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