On the Calabi-Yau Compactifications of Toric Landau-Ginzburg Models for Fano Complete Intersections

V. V. Przyjalkowski

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On the Calabi-Yau Compactifications of Toric Landau-Ginzburg Models for Fano Complete Intersections

机译：关于Fano完整交叉口的Toric Landau-Ginzburg模型的Calabi-Yau压实

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Abstract It is well known that Givental’s toric Landau–Ginzburg models for Fano complete intersections admit Calabi–Yau compactifications. We give an alternative proof of this fact. As a consequence of this proof, we obtain a description of the fibers over infinity of the compactified toric Landau–Ginzburg models.

机译：摘要众所周知，纪梵塔（Givetal）的Fano完整交叉口的复曲面Landau–Ginzburg模型承认Calabi–Yau压实。我们提供这一事实的替代证明。作为这一证明的结果，我们获得了压实的复曲面朗道-金茨堡模型在无限远处的纤维的描述。

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来源
《Mathematical notes》 |2018年第2期|104-110|共7页
作者
V. V. Przyjalkowski;
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作者单位

Steklov Mathematical Institute of the Russian Academy of Sciences;

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原文格式 PDF
正文语种 eng
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关键词
Calabi–Yau compactification; toric Landau–Ginzburg model; complete intersection;

机译：Calabi–Yau压实;toric Landau–Ginzburg模型;完全交点;

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专利

1. Toric degenerations of Fano threefolds giving weak Landau-Ginzburg models [J] . Ilten N.O., Lewis J., Przyjalkowski V. Journal of Algebra . 2013,第Null期

机译：Fano的复曲面退化三倍，给出了弱的Landau-Ginzburg模型
2. On the unipotence of autoequivalences of toric complete intersection Calabi-Yau categories [J] . Herbst M., Walcher J. Mathematische Annalen . 2012,第3期

机译：关于复曲面完全交点卡拉比尤类的等价自等价
3. Toric residue mirror conjecture for Calabi-Yau complete intersections [J] . Karu K Journal of algebraic geometry . 2005,第4期

机译：Calabi-Yau完整交叉点的复曲面残留镜猜想
4. The hybrid Landau-Ginzburg models of Calabi-Yau complete intersections [C] . Alessandro Chiodo, Jan Nagel AMS von Neumann Symposium "Topological Recursion and its Influence in Analysis, Geometry, and Topology" . 2018

机译：Calabi-yau的混合Landau-Ginzburg型号综述交叉口
5. Duality for formal toric Landau-Ginzburg models. [D] . Clarke, Patrick Cooper. 2007

机译：正式复曲面Landau-Ginzburg模型的对偶性。
6. Four-dimensional Fano toric complete intersections [O] . T. Coates, A. Kasprzyk, T. Prince -1

机译：三维Fano复曲面完全交点
7. On Calabi-Yau compactifications of toric Landau-Ginzburg models for Fano complete intersections [O] . Przyjalkowski, Victor 2017

机译：关于法拉的Landau-Ginzburg模型的Calabi-Yau紧凑化完整的十字路口

On the Calabi-Yau Compactifications of Toric Landau-Ginzburg Models for Fano Complete Intersections

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