Holomorphic differential forms on some orthogonal modular varieties
代数几何
2026-06-30 v1
摘要
We construct holomorphic differential forms of many degrees, including the minimum possible one, on the modular varieties associated to the even lattices of signature with mod and discriminant in the range . This is the first example of holomorphic differential forms of non-top degree on orthogonal modular varieties. The proof uses the Arthur multiplicity formula in the theory of automorphic representations.
引用
@article{arxiv.2606.31395,
title = {Holomorphic differential forms on some orthogonal modular varieties},
author = {Shuji Horinaga and Shouhei Ma},
journal= {arXiv preprint arXiv:2606.31395},
year = {2026}
}