The ring of modular forms of \(\mathrm{O}(2,4;\mathbb{Z})\) with characters

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Publication:Q2093547

DOI10.14492/HOKMJ/2020-355zbMATH Open1502.14089arXiv2005.00231OpenAlexW3022098268MaRDI QIDQ2093547

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Publication date: 27 October 2022

Published in: (Search for Journal in Brave)

Abstract: We show that the ring of modular forms with characters for mathrmO(2,4;mathbbZ) is generated by forms of weights 4, 4, 6, 8, 10, 10, 12, and 30 with three relations of weights 8, 20, and 60. The proof is based on the study of a moduli space of K3 surfaces.


Full work available at URL: https://arxiv.org/abs/2005.00231



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