McKay correspondence and new Calabi-Yau threefolds

2015/07/02 by Xun Yu, Yu, Xun
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1507.00577

16 pages

arxiv created 2015/07/02 · openalex publication_date 2015/07/02 · arxiv updated 2015/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we consider crepant resolutions of the quotient varieties of smooth quintic threefolds by Gorenstein group actions. We compute their Hodge numbers via McKay correspondence. In this way, we find some new pairs (h^1,1, h^2,1) of Hodge numbers of Calabi-Yau threefolds.

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