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Quasimodular forms and vector bundles. (English) Zbl 1225.11051
Summary: Modular forms for a discrete subgroup $$\Gamma$$ of $$\text{SL}(2,\mathbb R)$$ can be identified with holomorphic sections of line bundles over the modular curve $$U$$ corresponding to $$\Gamma$$, and quasimodular forms generalize modular forms. We construct vector bundles over $$U$$ whose sections can be identified with quasimodular forms for $$\Gamma$$.

##### MSC:
 11F11 Holomorphic modular forms of integral weight 11F23 Relations with algebraic geometry and topology
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##### References:
 [1] Kaneko, A Generalized Jacobi Theta Function and Quasimodular Forms pp 165– (1995) · Zbl 0892.11015 [2] DOI: 10.4007/annals.2006.163.517 · Zbl 1105.14076 [3] DOI: 10.1142/S1793042107000924 · Zbl 1142.11027 [4] DOI: 10.1007/s002220100142 · Zbl 1019.32014
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