猫和老鼠教程:$\mathbb{P}$(1,2,3)上的两个反正则锥的光滑

IF 1.3 Q1 MATHEMATICS EMS Surveys in Mathematical Sciences Pub Date : 2021-08-31 DOI:10.4171/emss/43

G. Brown, M. Reid, J. Stevens

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引用次数: 0

摘要

这是对取消投影方法的第一次介绍，更具体地说是对汤姆和杰瑞取消投影的介绍。这两个无害的技巧应该得到更好的了解，因为它们回答了许多关于构造余维数为4的Gorenstein子格式的实际问题。特别地，我们在这里讨论了P.1上的反不规则锥的两个平滑分量;2;3 /。

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Tutorial on Tom and Jerry: the two smoothings of the anticanonical cone over $\mathbb{P}$(1, 2, 3)

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 P.1; 2; 3/.

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