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for questions about etale cohomology of schemes, including foundational material and applications.
7
votes
1
answer
730
views
How to compute the étale cohomology of the quotient of a surface by a finite group of automo...
Let $S$ be a smooth surface defined over a finite field $K$ of char. $p$. Let $G$ be a finite group of automorphisms of $S$. Let $Z\to S/G$ be the minimal resolution of the quotient of $S$ by $G$. Su …
6
votes
2
answers
782
views
Can we decide if an abelian variety is simple by knowing its Zeta function ?
Let $A$ be an Abelian variety defined over the finite field with $q$ elements. Let $P_i(T)$ be the characteristic polynomial of the action of the Frobenius on the $i^{th}$ étale cohomology group.
Is …