Minuscule Schubert Varieties and Mirror Symmetry

@inproceedings{Miura2017MinusculeSV,
  title={Minuscule Schubert Varieties and Mirror Symmetry},
  author={Makoto Miura},
  year={2017}
}
We study the mirror symmetry for smooth complete intersection Calabi-Yau 3-folds in minuscule Schubert varieties using their degenerations to Hibi toric varieties. Listing all these Calabi-Yau 3-folds up to deformation equivalences, we find a new example of smooth Calabi-Yau 3-folds of Picard number one, which is a complete intersection in a locally factorial Schubert variety of the Cayley plane. We calculate topological invariants and BPS numbers of this Calabi-Yau 3-fold and conjecture that… CONTINUE READING

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