Deformations of $\Bbb Q$-Calabi-Yau 3-Folds and $\Bbb Q$-Fano 3-Folds of Fano Index 1

J. Math. Sci. Univ. Tokyo
Vol. 6 (1999), No. 2, Page 397--414.

Minagawa, Tatsuhiro
Deformations of $\Bbb Q$-Calabi-Yau 3-Folds and $\Bbb Q$-Fano 3-Folds of Fano Index 1
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Abstract:
In this article, we prove that any $\Bbb Q$-Calabi-Yau 3-fold with only ordinary terminal singularities and any $\Bbb Q$-Fano 3-fold of Fano index 1 with only terminal singularities have $\Bbb Q$-smoothings.

Mathematics Subject Classification (1991): Primary 14B07; Secondary 14J30
Mathematical Reviews Number: MR1707207

Received: 1998-05-01