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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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2022-02-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP02(2022)007 |