环面变异的极对偶性的推广及其在镜像对称中的结果

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Theoretical and Mathematical Physics Pub Date : 2020-03-19 DOI:10.4310/ATMP.2022.v26.n5.a9

M. Rossi

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引用次数: 3

摘要

本文将范诺环变体之间的极对偶推广到更一般的对偶，称为\emph{框架}对偶，从而给出了一种生成任意Kodaira维环变体中超曲面的镜像伙伴和完全交点的有效方法。特别地，对射影超曲面及其镜像伙伴进行了详细的研究。此外，还讨论了许多与已知的Landau-Ginzburg镜像模型的联系，如同调镜像对称和本征镜像对称。

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An extension of polar duality of toric varieties and its consequences in Mirror Symmetry

The present paper is dedicated to illustrating an extension of polar duality between Fano toric varieties to a more general duality, called \emph{framed} duality, so giving rise to a powerful method of producing mirror partners of hypersurfaces and complete intersections in toric varieties, of any Kodaira dimension. In particular, the class of projective hypersurfaces and their mirror partners are studied in detail. Moreover, many connections with known Landau-Ginzburg mirror models, Homological Mirror Symmetry and Intrinsic Mirror Symmetry, are discussed.

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来源期刊

Advances in Theoretical and Mathematical Physics 物理-物理：粒子与场物理

CiteScore

2.20

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.