Calabi-Yau threefolds with small h(1,1)'s from Fano threefolds

초록

We construct Calabi-Yau threefolds with relatively small Hodge numbers h(1,1') s by smoothing normal crossing varieties, which are obtained from Fano threefolds. We consider over 300 configurations and compute Hodge numbers of Calabi-Yau threefolds. Many of those Hodge pairs (h(1,1') h(1,2)) do not overlap with those of Calabi-Yau threefolds constructed in the toric setting. (C) 2017 The Author(s). Published by Elsevier B.V.