A mirror theorem for multi-root stacks and applications

Autor:	Tseng, Hsian-Hua, You, Fenglong
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry Mirror symmetry General Mathematics Gromov-Witten invariants FOS: Mathematics Multi-root stacks General Physics and Astronomy Mathematics::Symplectic Geometry Algebraic Geometry (math.AG)
Zdroj:	Selecta Mathematica. N.S., 29 (1)
ISSN:	1420-9020 1022-1824
Popis:	Let X be a smooth projective variety with a simple normal crossing divisor D := D-1 + D-2 + ... + D-n, where D-i subset of X are smooth, irreducible and nef. We prove a mirror theorem for multi-root stacks X-D,X-(r) over right arrow by constructing an I-function lying in a slice of Givental's Lagrangian cone for Gromov-Witten theory of multi-root stacks. We provide three applications: (1) We show that some genus zero invariants of X-D,X-(r) over right arrow stabilize for sufficiently large (r) over right arrow. (2) We state a generalized local-log-orbifold principle conjecture and prove a version of it. (3) We show that regularized quantum periods of Fano varieties coincide with classical periods of the mirror Landau-Ginzburg potentials using orbifold invariants of X-D,X-(r) over right arrow. Selecta Mathematica. N.S., 29 (1) ISSN:1420-9020 ISSN:1022-1824
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d7bb1171262f10414bc19d703f7a4d6 https://hdl.handle.net/20.500.11850/580984 Zobrazit plný text záznamu Full text from SpringerLink