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Calabi-Yau manifolds constructed by Borcea-Voisin method

1997/05/30 by Mitsuko Abe, Abe, Mitsuko, Masamichi Sato +1
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9705238

Latex, 26 pages, Replacement: toric data was added

openalex publication_date 1997/05/30 · arxiv created 1999/08/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct Calabi-Yau manifolds and their mirrors from K3 surfaces. This method was first developed by Borcea and Voisin. We examined their properties torically and checked mirror symmetry for Calabi-Yau 4-fold case. From Borcea-Voisin 3-fold or 4-fold examples, it may be possible to probe the S-duality of Seiberg -Witten.

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