Calculations in Étale Cohomology
نویسندگان
چکیده
We prove some finiteness theorems for the étale cohomology, Borel-Moore homology and cohomology with proper supports of schemes of finite type over a finite or p-adic field. This yields vanishing results for their l-adic cohomology, proving part of a conjecture of Jannsen. Let X be a scheme and n ∈ Z. We denote by (Q/Z)(n) the étale sheaf lim −→ μ m over X, where m runs through the integers invertible over X and μ m denotes the sheaf of m-th roots of unity, twisted n times. For a fixed prime number p, we denote by
منابع مشابه
Comparison of Motivic and simplicial operations in mod-l-motivic and étale cohomology
In this paper we explore the relationships between the motivic and simplicial cohomology operations defined on mod-l motivic cohomology. We also explore similar relationships in étale cohomology and conclude by considering certain operations that commute with proper push-forwards.
متن کاملNotes on Étale Cohomology
These notes outline the “fundamental theorems” of étale cohomology, following [4, Ch. vi], as well as briefly discuss the Weil conjectures.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2001