Siegel尖点形式的斜率与紧化Kuga簇的几何
代数几何
2025-07-24 v2
摘要
我们研究主极化abelian g-簇模空间上紧化n重Kuga簇的Kodaira维数。我们构造了一个合适的紧化,称之为Namikawa紧化,并证明在大多数情况下它具有典范奇点。然后我们利用关于Siegel模形式斜率的结果来确定所有g>1与n>0时的Kodaira维数。
引用
@article{arxiv.2109.06142,
title = {Slopes of Siegel cusp forms and geometry of compactified Kuga varieties},
author = {Flora Poon and Riccardo Salvati Manni and Gregory Sankaran},
journal= {arXiv preprint arXiv:2109.06142},
year = {2025}
}
备注
Minor corrections and exposition improved following referee's report: bibliography, and affiliation of one author, updated