中文

截断推送与细化未加总上同调

代数几何 2024-10-14 v2

摘要

对于广泛的同调理论类目,我们证明了细化未加总上同调与自然截断 Zariski 层复合的超同调之间存在标准同构。这一结果推广了 Bloch 与 Ogus 的经典结果,解决了 Kok 与 Zhou 的一个猜想。

关键词

引用

@article{arxiv.2406.07092,
  title  = {Truncated pushforwards and refined unramified cohomology},
  author = {Theodosis Alexandrou and Stefan Schreieder},
  journal= {arXiv preprint arXiv:2406.07092},
  year   = {2024}
}

备注

21 pages, final version, to appear in Advances in Mathematics, updated some references and added Corollaries 1.4, 5.1, and 5.2