DEGENERATING HODGE STRUCTURE OF ONE–PARAMETER FAMILY OF CALABI–YAU THREEFOLDS

Tatsuki Hayama; Atsushi Kanazawa

doi:10.4310/AJM.2021.v25.n1.a2

DEGENERATING HODGE STRUCTURE OF ONE–PARAMETER FAMILY OF CALABI–YAU THREEFOLDS

Research output: Contribution to journal › Article › peer-review

Abstract

To a one-parameter family of Calabi–Yau threefolds, we can associate the extended period map by the log Hodge theory of Kato and Usui. We study the image of a maximally unipotentmonodromy point under the extended period map.

Original language	English
Pages (from-to)	31-42
Number of pages	12
Journal	Asian Journal of Mathematics
Volume	25
Issue number	1
DOIs	https://doi.org/10.4310/AJM.2021.v25.n1.a2
Publication status	Published - 2021
Externally published	Yes

Keywords

(log) hodge theory
Calabi–yau
Mirror symmetry
Torelli problem

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.4310/AJM.2021.v25.n1.a2

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title = "DEGENERATING HODGE STRUCTURE OF ONE–PARAMETER FAMILY OF CALABI–YAU THREEFOLDS",

abstract = "To a one-parameter family of Calabi–Yau threefolds, we can associate the extended period map by the log Hodge theory of Kato and Usui. We study the image of a maximally unipotentmonodromy point under the extended period map.",

keywords = "(log) hodge theory, Calabi–yau, Mirror symmetry, Torelli problem",

author = "Tatsuki Hayama and Atsushi Kanazawa",

note = "Funding Information: Acknowledgement. A.K. was supported by the Harvard CMSA during this project was done. This research was partially supported by the Research Fund for International Young Scientists NSFC 11350110209 (Hayama). We are very grateful for referee{\textquoteright}s careful reading and useful suggestions. Publisher Copyright: {\textcopyright} 2021 International Press",

year = "2021",

doi = "10.4310/AJM.2021.v25.n1.a2",

language = "English",

volume = "25",

pages = "31--42",

journal = "Asian Journal of Mathematics",

issn = "1093-6106",

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AU - Hayama, Tatsuki

AU - Kanazawa, Atsushi

N1 - Funding Information: Acknowledgement. A.K. was supported by the Harvard CMSA during this project was done. This research was partially supported by the Research Fund for International Young Scientists NSFC 11350110209 (Hayama). We are very grateful for referee’s careful reading and useful suggestions. Publisher Copyright: © 2021 International Press

PY - 2021

Y1 - 2021

N2 - To a one-parameter family of Calabi–Yau threefolds, we can associate the extended period map by the log Hodge theory of Kato and Usui. We study the image of a maximally unipotentmonodromy point under the extended period map.

AB - To a one-parameter family of Calabi–Yau threefolds, we can associate the extended period map by the log Hodge theory of Kato and Usui. We study the image of a maximally unipotentmonodromy point under the extended period map.

KW - (log) hodge theory

KW - Calabi–yau

KW - Mirror symmetry

KW - Torelli problem

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DEGENERATING HODGE STRUCTURE OF ONE–PARAMETER FAMILY OF CALABI–YAU THREEFOLDS

Abstract

Keywords

ASJC Scopus subject areas

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