Deformations of Q-Calabi-Yau 3-folds and Q-Fano 3-folds of Fano index 1
arXiv:math/9905106
Abstract
In this article, we prove that any Q-Calabi-Yau 3-fold with only ordinary terminal singularities and any Q-Fano 3-fold of Fano index 1 with only terminal singularities have Q-smoothings.
To appear in J. Math. Sci. Univ. Tokyo