Mirror symmetry conjecture for Calabi–Yau fractional complete intersections

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Let X→PΔX\to\mathbf{P}_{\Delta} and X∨→P∇X^{\vee}\to\mathbf{P}_{\nabla} be smooth MPCP desingularizations admitting the stated nef-partitions, and let YY and Y∨Y^{\vee} be the associated Calabi–Yau double covers constructed from those nef-partitions. Mirror symmetry conjecture. YY and Y∨Y^{\vee} are mirror. This conjecture proposes mirror symmetry for Calabi–Yau fractional complete intersections obtained as double covers from dual nef-partitions; the supplied text gives no resolution status.

References

Primary source

Tsung-Ju Lee, “A note on periods of Calabi–Yau fractional complete intersections”, arXiv:2204.10474 (2022).

Additional references

5 papers in this index state this conjecture (2013–2022). The statement above is taken from the most recent of them; the others are arXiv:2108.08391, arXiv:2003.07148, arXiv:1801.02749, arXiv:1310.2656.

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