中文

关于光滑代数簇的热带上同调

代数几何 2025-07-23 v6

摘要

在本文中,我们给出了平凡赋值域上光滑代数簇的热带上同调的显式描述。我们还为几何严格半稳定约化的热带上同调构造了“单值权”谱序列。

关键词

引用

@article{arxiv.2009.04690,
  title  = {On tropical cohomology of smooth algebraic varieties},
  author = {Ryota Mikami},
  journal= {arXiv preprint arXiv:2009.04690},
  year   = {2025}
}

备注

60 pages. version 6 largely changed. Proof was simplified. The case of semi-stable reduction was added. Title changed from "On tropical cycle class maps", version 5: largely changed. Title changed from "A tropical analog of the Hodge conjecture for smooth algebraic varieties over trivially valued fields". This paper contains the contents of arXiv: 2009.04677, version2, 3, 4:minor changes,