Vector-valued modular forms and the modular orbifold of elliptic curves

DOI10.1142/S179304211750004XzbMath1419.11076arXiv1506.09192OpenAlexW2962847879MaRDI QIDQ3179502

Cameron Franc, Luca Candelori

Publication date: 21 December 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.09192

zbMATH Keywords

modular formsweighted projective linesdimension formulas

Mathematics Subject Classification ID

Automorphic forms, one variable (11F12) Relations with algebraic geometry and topology (11F23)

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Modular iterated integrals associated with cusp forms, Additive decompositions for rings of modular forms, The Chevalley-Weil formula for orbifold curves, The unbounded denominators conjecture for the noncongruence subgroups of index 7, Generating weights for the Weil representation attached to an even order cyclic quadratic module, Non-vanishing of vector-valued Poincaré series, On vector-valued Poincaré series of weight 2, Eisenstein metrics, Constructions of vector-valued modular forms of rank four and level one, The module of vector-valued modular forms is Cohen-Macaulay, Topological computation of Stokes matrices of some weighted projective lines, On the structure of modules of vector-valued modular forms, On unbounded denominators and hypergeometric series, Nonabelian Hodge theory and vector valued modular forms, The arithmetic of vector-valued modular forms on Γ0(2), Indecomposable vector-valued modular forms and periods of modular curves, Modular flavor symmetry and vector-valued modular forms, Character vectors of strongly regular vertex operator algebras

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