Abstract
In this paper, the author gives a summary of the paper [12] and pictures of theFano 3-folds which appear in it. Here a Fano 3-fold means a normal projective varietyof dimension three over C whose anticanonical sheaf is ample and invertible. During thepast fifteen years, there has been big progress in the investigation of a non-singular Fano3-fold owing to Iskovskih, Mori, Mukai and Shokurov. And it is still developing. On theother hand, in singular Fano 3-folds, progress seems to have started recently. Here westudy the structure of a Fano 3-fold with non-rational singularities.Let Σ be the locus of non-rational singular points of a Fano 3-fold
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