Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges

Abstract We show that the stringy Kähler moduli space of a generic genus one curve of degree N, for N ≤ 5, is the Γ1(N) modular curve X 1(N). This implies a correspondence between the cusps of the modular curves and certain large volume limits in the stringy Kähler moduli spaces of genus one fibered...

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Bibliographic Details
Main Author: Thorsten Schimannek
Format: Article
Language:English
Published: SpringerOpen 2022-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2022)007