JournalsemssVol. 8, No. 1/2pp. 25–38

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

  • Gavin D. Brown

    University of Warwick, Coventry, UK

  • Miles Reid

    University of Warwick, Coventry, UK

  • Jan Stevens

    Chalmers University of Technology, Gothenburg, Sweden; University of Gothenburg, Sweden
Tutorial on Tom and Jerry: the two smoothings of the anticanonical cone over $\mathbb{P}$(1, 2, 3) cover
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Abstract

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

Cite this article

Gavin D. Brown, Miles Reid, Jan Stevens, Tutorial on Tom and Jerry: the two smoothings of the anticanonical cone over (1, 2, 3). EMS Surv. Math. Sci. 8 (2021), no. 1/2, pp. 25–38

DOI 10.4171/EMSS/43