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arXiv · 1310.2304

Mirror symmetry for Pfaffian Calabi-Yau 3-folds via conifold transitions

Michal Kapustka
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Abstract

In this note we construct conifold transitions between several Calabi-Yau threefolds given by Pfaffians in weighted projective spaces and Calabi-Yau threefolds appearing as complete intersections in toric varieties. We use the obtained results to predict mirrors following ideas of \cite{BCKS, Batsmalltoricdegen}. In particular we consider the family of Calabi--Yau threefolds of degree 25 in $\mathbb{P}^9$ obtained as a transverse intersection of two Grassmannians in their Plucker embeddings.

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Michal Kapustka. 2013-10-08. Mirror symmetry for Pfaffian Calabi-Yau 3-folds via conifold transitions. https://arxiv.org/abs/1310.2304

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