Type III contractions and quintic threefolds

DOI10.1142/S0129167X2250015XzbMath1493.14060arXiv2010.13866OpenAlexW4205105742MaRDI QIDQ5061471

Kacper Grzelakowski

Publication date: 11 March 2022

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.13866

zbMATH Keywords

Calabi-Yau threefoldsconifold transitionsprimitive contractions

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) (3)-folds (14J30)

Uses Software

• Macaulay2
• Book3264Examples

Cites Work

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• Geometry and arithmetic of Maschke's Calabi-Yau three-fold
• Simultaneous resolution of threefold double points
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• The Kähler cone on Calabi-Yau threefolds
• A quintic hypersurface in \(\mathbb{P}^ 4\) with 130 nodes
• On deformations of Calabi-Yau 3-folds with terminal singularities
• Deforming Calabi-Yau threefolds
• Primitive Calabi-Yau threefolds
• Enhanced gauge symmetry in type II string theory
• Geometric transitions
• Modular Calabi-Yau threefolds
• 3264 and All That
• Defect via differential forms with logarithmic poles
• Primitive contractions of Calabi-Yau threefolds II
• Primitive Contractions of Calabi–Yau Threefolds I
• Genre des courbes de l'espace projectif. II
• Strong Bertini Theorems
• Classification of Three-Dimensional Flips
• Singularities of Pairs
• Quintic threefolds with triple points
• Number of ordinary multiple points on a surface in \(\mathbb{P}^3\) of degree \(\leq 8\)
• Defect of a nodal hypersurface

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