Genus-zero mirror-map conjecture for complete intersections in weighted projective space
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.
Sources & referencesView supporting material
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.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.