Berglund-Hübsch-Krawitz mirrors via Shioda maps
type: Item
instance of: scholarly article
title: Berglund-Hübsch-Krawitz mirrors via Shioda maps
zbMATH Open document ID: 1316.14076
author: Tyler L. Kelly
published in: Advances in Theoretical and Mathematical Physics
publication date: 2014-08-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/1304.3417
review text: The author discusses the birational geometry of BHK (Berglund-Hübsch-Krawitz) mirrors by using the Shioda map. Then, the birationality of certain Calabi-Yau orbifolds to finite quotients of a Fermat variety in a projective space is proven. Using this result, the author proves that if \(Z_{A,G}\) and \(Z_{A^{'},G^{'}}\) are certain Calabi-Yau orbifolds and if the groups \(G\) and \(G^{'}\) are equal, then the BHK mirrors \(Z_{A^{T},G^{T}}\) and \(Z_{(A^{'})^{T},(G^{'})^{T}}\) of these orbifolds are birational. Finally, the application of these results on an example is given.
reviewed by: Vehbi Emrah Paksoy
Mathematics Subject Classification ID: 14J32
Mathematics Subject Classification ID: 14J33
zbMATH DE Number: 6325097
zbMATH Keywords: BHK mirrors
zbMATH Keywords: Shioda map
zbMATH Keywords: Calabi-Yau orbifold
zbMATH Keywords: Fermat variety
MaRDI profile type: Publication
arXiv ID: 1304.3417
DOI: 10.4310/ATMP.2013.V17.N6.A8
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description: scientific article