Fibers over infinity of Landau-Ginzburg models

被引：0
|
作者：
Cheltsov, Ivan [1 ]
Przyjalkowski, Victor [2 ]
机构：
[1] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Scotland
[2] Russian Acad Sci, Steklov Math Inst, 8 Gubkina St, Moscow 119991, Russia
来源：
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS | 2022年 / 16卷 / 04期
基金：
英国工程与自然科学研究理事会;
关键词：
AND PHRASES; Fano varieties; Landau-Ginzburg models; log Calabi-Yau compactifications; anticanonical linear systems; MIRROR SYMMETRY; FANO;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 ver-ify this conjecture for log Calabi-Yau compactifications of toric Landau-Ginzburg models for smooth Fano threefolds, complete intersections in projective spaces, and some toric varieties.
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页码：673 / 693
页数：21
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