Deformations of Q-Calabi-Yau 3-folds and Q-Fano 3-folds of Fano index 1

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.

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