一般型 klt 簇的 Milnor-Wood 不等式与单值化
代数几何
2024-07-16 v3 微分几何
摘要
我们将 Koziarz 和 Maubon 针对一般型光滑簇基本群表示所定义的 Toledo 不变量推广到奇异 klt 簇的情形，其中自然应考虑的基本群是光滑轨迹的基本群。假设目标李群的秩不大于二，我们证明了 Toledo 不变量满足 Milnor-Wood 型不等式，并刻画了相应的最大表示。
引用
@article{arxiv.2308.05586,
title = {Milnor-Wood inequality for klt varieties of general type and uniformization},
author = {Matteo Costantini and Daniel Greb},
journal= {arXiv preprint arXiv:2308.05586},
year = {2024}
}
备注
v2: 15 pages, minor changes as requested by referee. Accepted for publication in Bulletin of the London Mathematical Society; v3: compared to the published version, this version fixes some typos and gives a more precise characterization of the situation in which equality is attained in the Milnor-Wood inequality