圆盘中闭形式的代数是Koszul的
K理论与同调
2012-12-20 v5 代数几何
环与代数
摘要
我们证明了在（代数、形式或解析）圆盘中具有沿若干坐标超平面对数奇点的闭微分形式的代数（既非拓扑也拓扑地）是Koszul的。在引言中讨论了与混合Hodge-Tate结构变形的联系，该联系基于Andrey Levin的一篇预印本。
引用
@article{arxiv.1007.5010,
title = {The algebra of closed forms in a disk is Koszul},
author = {Leonid Positselski},
journal= {arXiv preprint arXiv:1007.5010},
year = {2012}
}
备注
LaTeX 2e, 9 pages; v.2: small additions in sections 1-2, correction in section 3; v.3: explanations concerning the connection with mixed Hodge-Tate sheaves added to the introduction, detalizations and correction in section 1; v.4: small details added here and there, major correction in section 3; v.5: one reference added