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.
arXiv commentTo appear in J. Math. Sci. Univ. Tokyo
Cited by in corpus (9)
- On the extendability of projective surfaces and a genus bound for Enriques-Fano threefolds
- On Fano-Enriques threefolds
- On classification of Q-Fano 3-folds with Gorenstein index 2 and Fano index 1/2
- Deforming elephants of Q-Fano threefolds
- On deformations of Q-Fano threefolds II
- Obstructions to deforming curves on an Enriques-Fano 3-fold
- On the rational Enriques-Fano threefolds discovered by Fano
- Moduli of curves on Enriques surfaces
- Simple isotropic decompositions of the curve sections of the known Enriques-Fano threefolds