Abstract
We develop some methods to construct normal crossing varieties whose dual complexes are two-dimensional, which are smoothable to Calabi–Yau threefolds. We calculate topological invariants of smoothed Calabi–Yau threefolds and show that several of them are new examples.
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Acknowledgements
The author is very thankful to the referee for making several valuable suggestions for the initial draft of this note. This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A2B03029525) and Hongik University Research Fund.