具有指定数值不变量的与高积同构的簇
群论
2026-01-09 v2 代数几何
摘要
利用小阶群的结构性质，我们证明了不存在具有固定拓扑欧拉数 和平凡第一贝蒂数的、维数 大于 3 的与高积同构的簇。
引用
@article{arxiv.2503.08499,
title = {Varieties isogenous to a higher product with prescribed numerical invariants},
author = {Amir Džambić and Anitha Thillaisundaram},
journal= {arXiv preprint arXiv:2503.08499},
year = {2026}
}
备注
22 pages; this version of the article has been accepted for publication, after peer review but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s10711-025-01044-z