Cohomology of Higher-Dimensional Schemes (A01)

高维方案的上同调 (A01)

• 批准号: 247956439
• 金额: --
• 依托单位: Fakultät für Mathematik
• 依托单位国家: 德国
• 项目类别: Collaborative Research Centres
• 财政年份: 2014
• 资助国家: 德国
• 起止时间: 2013-12-31 至 2020-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/247956439?language=en
• 关键词: Cohomology; Higher; Dimensional; Schemes; A01

Some central invariants in the arithmetic of varieties over finite, local and global fields are obtained by the computation of various cohomology groups. Here one encounters unramified, tamely ramified and wildly ramified phenomena. In the second period of this project we will continue to study local-global principles in various situations, apply new duality theorems for studying wild ramification of sheaves and schemes, and complete a cohomology theory which relates to various other p-adic theories.

通过对各种上同调群的计算，得到了有限域、局部域和整体域上簇算术中的中心不变量。在这里，人们遇到了非分歧的、温和分歧的和疯狂分歧的现象。在这个项目的第二阶段，我们将继续研究各种情况下的局部-全局原理，应用新的对偶定理来研究层和方案的野生分支，并完成与其他各种p-adic理论相关的上同调理论。