Genus-zero mirror-map conjecture for complete intersections in weighted projective space
Let be a nonsingular complete intersection in weighted projective space. Let be the mirror maps defined from the genus-zero virtual structure constants, and let denote their inverse. Write for the genus-zero two-point Gromov--Witten generating function and for the corresponding virtual structure-constant generating function. Genus-zero mirror-map conjecture. For all admissible and ,
This change-of-variables assertion is used to compute genus-zero Gromov--Witten invariants; the source states that it was already proved for projective hypersurfaces, while its status for the stated weighted complete intersections is not specified.
References
Primary source
Masao Jinzenji and Ken Kuwata, “Elliptic Virtual Structure Constants and Gromov-Witten Invariants for Complete Intersections in Weighted Projective Space”, arXiv:2504.14273 (2026).
Additional references
2 papers in this index state this conjecture (2006–2025). The statement above is taken from the most recent of them; the others are arXiv:math/0609016.
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