MIRROR SYMMETRY FOR DOUBLE COVER CALABI-YAU VARIETIES

Shinobu Hosono; Tsung Ju Lee; Bong H. Lian; Shing Tung Yau

doi:10.4310/JDG/1717356161

MIRROR SYMMETRY FOR DOUBLE COVER CALABI-YAU VARIETIES

Shinobu Hosono
, Tsung Ju Lee
, Bong H. Lian
, Shing Tung Yau

數學系

研究成果: Article › 同行評審

1 引文斯高帕斯（Scopus）

摘要

The presented paper is a continuation of the series of papers [17, 18]. In this paper, utilizing Batyrev and Borisov's duality construction on nef-partitions, we generalize the recipe in [17, 18] to construct a pair of singular double cover Calabi-Yau varieties (Y, Y ^∨) over toric manifolds and compute their topological Euler characteristics and Hodge numbers. In the 3-dimensional cases, we show that (Y, Y ^∨) forms a topological mirror pair, i.e., h^p,q(Y ) = h^3-p,q(Y ^∨) for all p, q.

原文	English
頁（從 - 到）	409-431
頁數	23
期刊	Journal of Differential Geometry
卷	127
發行號	1
DOIs	https://doi.org/10.4310/JDG/1717356161
出版狀態	Published - 2024 5月

All Science Journal Classification (ASJC) codes

分析
代數與數理論
幾何和拓撲

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10.4310/JDG/1717356161

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abstract = "The presented paper is a continuation of the series of papers [17, 18]. In this paper, utilizing Batyrev and Borisov's duality construction on nef-partitions, we generalize the recipe in [17, 18] to construct a pair of singular double cover Calabi-Yau varieties (Y, Y ∨) over toric manifolds and compute their topological Euler characteristics and Hodge numbers. In the 3-dimensional cases, we show that (Y, Y ∨) forms a topological mirror pair, i.e., hp,q(Y ) = h3-p,q(Y ∨) for all p, q.",

author = "Shinobu Hosono and Lee, \{Tsung Ju\} and Lian, \{Bong H.\} and Yau, \{Shing Tung\}",

year = "2024",

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doi = "10.4310/JDG/1717356161",

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AU - Hosono, Shinobu

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AU - Lian, Bong H.

AU - Yau, Shing Tung

PY - 2024/5

Y1 - 2024/5

N2 - The presented paper is a continuation of the series of papers [17, 18]. In this paper, utilizing Batyrev and Borisov's duality construction on nef-partitions, we generalize the recipe in [17, 18] to construct a pair of singular double cover Calabi-Yau varieties (Y, Y ∨) over toric manifolds and compute their topological Euler characteristics and Hodge numbers. In the 3-dimensional cases, we show that (Y, Y ∨) forms a topological mirror pair, i.e., hp,q(Y ) = h3-p,q(Y ∨) for all p, q.

AB - The presented paper is a continuation of the series of papers [17, 18]. In this paper, utilizing Batyrev and Borisov's duality construction on nef-partitions, we generalize the recipe in [17, 18] to construct a pair of singular double cover Calabi-Yau varieties (Y, Y ∨) over toric manifolds and compute their topological Euler characteristics and Hodge numbers. In the 3-dimensional cases, we show that (Y, Y ∨) forms a topological mirror pair, i.e., hp,q(Y ) = h3-p,q(Y ∨) for all p, q.

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UR - https://www.scopus.com/pages/publications/85196323978#tab=citedBy

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DO - 10.4310/JDG/1717356161

M3 - Article

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SN - 0022-040X

VL - 127

SP - 409

EP - 431

JO - Journal of Differential Geometry

JF - Journal of Differential Geometry

IS - 1

ER -

MIRROR SYMMETRY FOR DOUBLE COVER CALABI-YAU VARIETIES

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