• Journal of the Chungcheong Mathematical Society
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• v.21 no.4
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• pp.585-590
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• 2008

We give a formula for the Hodge numbers of Calabi-Yau 3-folds, constructed by smoothing and calculate the Hodge numbers of Calabi-Yau 3-folds of Y. Kawamata and Y. Namikawa.

• Journal of the Korean Mathematical Society
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• v.54 no.3
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• pp.733-748
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• 2017

We give Hodge structures on quasitoric orbifolds. We define orbifold Hodge numbers and show a correspondence of orbifold Hodge numbers for crepant resolutions of quasitoric orbifolds. In short we extend Hodge structures to a non almost complex setting.

• Journal of the Chungcheong Mathematical Society
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• v.30 no.3
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• pp.331-335
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• 2017

We construct Calabi-Yau threefolds by smoothing normal crossing varieties, which are made from the building blocks of $G_2-manifolds$. We compute the Hodge numbers of those Calabi-Yau threefolds. Some of those Hodge number pairs ($h^{1,1}$, $h^{1,2}$) do not overlap with those of Calabi-Yau threefolds constructed in the toric setting.

• Communications of the Korean Mathematical Society
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• v.11 no.2
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• pp.391-405
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• 1996

In this article, we calculate the cohomology groups of flat vector bundles on some manifolds.