论文标题

Landau-Ginzburg型号无限的纤维

Fibers over infinity of Landau-Ginzburg models

论文作者

Cheltsov, Ivan, Przyjalkowski, Victor

论文摘要

我们猜想,对于光滑的Fano品种$ x $,纤维的纤维组件数量与兰兹堡模型的无穷大 - 等于$ x $的抗宪法系统的尺寸。我们验证了calabi-yau toric landau-yau - ginzburg模型的这一猜想,用于光滑的扇形三倍,完整的交叉点和某些感谢您的品种。

We conjecture that the number of components of the fiber over infinity of Landau--Ginzburg model for a smooth Fano variety $X$ equals the dimension of the anticanonical system of $X$. We verify this conjecture for log Calabi--Yau compactifications of toric Landau--Ginzburg models for smooth Fano threefolds, complete intersections, and some toric varieties.

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