Shouhei Ma
Abstract
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We prove that the graded ring of modular forms of weight divisible by 3 is naturally isomorphic to a certain log canonical ring of the associated elliptic modular surface. This extends the Shioda correspondence between weight 3 cusp forms and holomorphic 2-forms.
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We prove that the graded ring of modular forms of weight divisible by 3 is naturally isomorphic to a certain log canonical ring of the associated elliptic modular surface. This extends the Shioda correspondence between weight 3 cusp forms and holomorphic 2-forms.
Key concepts: Modular form, Modular design, Mathematics, Cusp (singularity), Holomorphic function, Modular elliptic curve, Pure mathematics, Ring (chemistry)