Deligne's conjecture and mirror symmetry
type: Item
instance of: scholarly article
title: Deligne's conjecture and mirror symmetry
zbMATH Open document ID: 1483.14069
author: Wenzhe Yang
publication date: 2021-09-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/2001.03283
review text: The author studies the connections between the mirror symmetry of Calabi-Yau threefolds and Deligne's conjecture on the special values of the \(L\)-functions of critical motives. He develops a method to compute Deligne's periods of Calabi-Yau threefolds in a one parameter mirror family. Using this method, the author computes Deligne's period for two crucial examples. Finally, some open problems are discussed in this paper.
reviewed by: Vehbi Emrah Paksoy
Mathematics Subject Classification ID: 14J33
Mathematics Subject Classification ID: 11G40
Mathematics Subject Classification ID: 11G42
Mathematics Subject Classification ID: 81T30
Mathematics Subject Classification ID: 14J32
zbMATH DE Number: 7402817
zbMATH Keywords: Calabi-Yau, Deligne's period
zbMATH Keywords: motive
MaRDI profile type: Publication
OpenAlex ID: W2999708613
Wikidata QID: Q122975179
arXiv ID: 2001.03283
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DOI: 10.1016/J.NUCLPHYSB.2020.115245
published in: Nuclear Physics B
description: scientific article