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On Mirror Symmetry Conjecture for Schoen's Calabi-Yau 3 folds

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Publication:2707317
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zbMath0963.14016arXivalg-geom/9709027MaRDI QIDQ2707317

Jan Stienstra, Shinobu Hosono, Masa-Hiko Saito

Publication date: 1 April 2001

Full work available at URL: https://arxiv.org/abs/alg-geom/9709027


zbMATH Keywords

toric varietytheta functioncomplete intersectionYukawa couplingsGromov-Witten invariantseta functionmirror symmetry conjectureSchoen's Calabi-Yau 3-fold


Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Relations with algebraic geometry and topology (11F23)


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Counting associatives in compact $G_2$ orbifolds ⋮ Local Calabi-Yau manifolds of type \(\widetilde{A}\) via SYZ mirror symmetry ⋮ Examples of non‐Kähler Calabi–Yau manifolds with arbitrarily large b2 ⋮ Conifold transitions via affine geometry and mirror symmetry ⋮ Emergent strings from infinite distance limits ⋮ Toric degenerations and Batyrev-Borisov duality



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