Modular forms of weight $3m$ and elliptic modular surfaces

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Shouhei Ma¹ 

[1] Department of Mathematics, Tokyo Institute of Technology

关键词: Modular forms;    elliptic modular surfaces;    pluricanonical forms.;   

DOI  :  10.3792/pjaa.95.31

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

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.

【 授权许可】

Unknown