Deformations of Fano 3-folds with terminal singularities

Deformations of Fano 3-folds with terminal singularities

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Taro Sano , University of Warwick
Fine Hall 322

Fano 3-folds with terminal singularities are important in the classification of 3-folds. Fano 3-folds with terminal Gorenstein singularities are roughly classified. However, in the non-Gorenstein case, things get complicated and the classification is not done. In order to make the classification easier, it is useful to consider the deformations. Alt{\i}nok--Brown--Reid conjectured that there exists a deformation of such a Fano 3-fold to that with only quotient singularities. I will talk about my results on this problem.