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This is a first introduction to unprojection methods, and more specificallyto Tom and Jerry unprojections. These two harmless tricks deserve to be betterknown, since they answer many practical questions about constructingcodimension 4 Gorenstein subschemes. In particular, we discuss here the twosmoothing components of the anticanonical cone over PP(1,2,3).

Tutorial on Tom and Jerry: the two smoothings of the anticanonical cone over PP(1,2,3)