论文标题
镜像对称,laurent倒置和$ \ mathbb {q} $的分类 - fano三倍
Mirror Symmetry, Laurent Inversion and the Classification of $\mathbb{Q}$-Fano Threefolds
论文作者
论文摘要
我们描述了一个程序中的最新进展,以了解使用镜子对称性的$ \ mathbb {q} $ - fortorial terminal单数字的三维FANO品种的分类。作为其中的一部分,我们对Laurent倒置有了改进,更概念上的理解,该技术有时可以直接从laurent polyenmial $ f $中构造Fano品种$ x $,该技术与镜面对称性相对应。
We describe recent progress in a program to understand the classification of three-dimensional Fano varieties with $\mathbb{Q}$-factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety $X$ directly from a Laurent polynomial $f$ that corresponds to it under mirror symmetry.