一维闭链空间与浓度 filtration
代数几何
2023-02-20 v2
摘要
我们证明了一个关于可分有理连通簇或曲线上的可分有理连通纤维化的一维闭链空间的结构性结果，视其为拓扑群或 h-层。这有如下推论：证明了强浓度 filtration 在 3 次同调上与浓度 filtration 一致，以及一个关于同调平凡一维闭链的整 Tate 猜想的结果。
引用
@article{arxiv.2211.15911,
title = {Space of one cycles and coniveau filtrations},
author = {Zhiyu Tian},
journal= {arXiv preprint arXiv:2211.15911},
year = {2023}
}
备注
The part of deformations of stable maps and algebraic equivalence is replaced by a joint paper with J\'anos Koll\'ar as arXiv:2302.07069, with stronger results and simplified proof. The part about coniveau filtrations and applications to cycle class maps will be included in the revised version of arXiv:2211.15915