Cohomology of Higher-Dimensional Schemes (A01)

通过计算各种上同调群，得到了有限域、局部域和全局域上的变分算法中的一些中心不变量。在这里，我们会遇到无分支、有分支和有分支的现象。在本项目的第二阶段，我们将继续研究各种情况下的局部-全局原理，将新的对偶定理应用于研究束和格式的野生分枝，并完成一个与其他各种p进理论相关的上同调理论。

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.