Generalized Jacobi forms and abelian schemes over arithmetic varieties.

Min Ho Lee

Displaying similar documents to “Generalized Jacobi forms and abelian schemes over arithmetic varieties.”

A characterization of non-hyperelliptic Jacobi varieties.

G.E. Welters (1983)

Inventiones mathematicae

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On the Andrianov-type identity for power series attached to Jacobi forms and its application

Hidenori Katsurada, Hisa-aki Kawamura (2010)

Acta Arithmetica

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Root systems and Jacobi forms

Klaus Wirthmüller (1992)

Compositio Mathematica

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Cohen-Kuznetsov liftings of quasimodular forms

Min Ho Lee (2015)

Acta Arithmetica

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Jacobi-like forms for a discrete subgroup Γ of SL(2,ℝ) are formal power series which generalize Jacobi forms, and they correspond to certain sequences of modular forms for Γ. Given a modular form f, a Jacobi-like form can be constructed by using constant multiples of derivatives of f as coefficients, which is known as the Cohen-Kuznetsov lifting of f. We extend Cohen-Kuznetsov liftings to quasimodular forms by determining an explicit formula for a Jacobi-like form associated to a quasimodular...