朗多-金兹堡模型的无穷远上的纤维

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2020-05-04 DOI:10.4310/cntp.2022.v16.n4.a1

I. Cheltsov, V. Przyjalkowski

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引用次数: 1

摘要

我们猜想光滑Fano变量$X$的Landau-Ginzburg模型无穷大上纤维的组分数等于$X$反正则系统的维数。我们对复曲面Landau-Ginzburg模型在光滑Fano三重、完全交和一些复曲面变种上的log-Carabi-Yau紧化的猜想进行了验证。

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Fibers over infinity of Landau–Ginzburg models

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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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.