3 problems

Let $A$ be a simplicial commutative $R$-algebra with finite Noetherian homotopy, and let $\wp\in\operatorname{Spec}(\pi_0A)$ satisfy $\operatorname{char}(k(\wp))>0$. Write…

Let $A$ be a simplicial commutative $R$-algebra with finite Noetherian homotopy, let $\wp\in\operatorname{Spec}(\pi_0A)$ satisfy $\operatorname{char}(k(\wp))>0$, and assume … for…

Quillen's conjecture. If $A$ has finite Noetherian homotopy and $\operatorname{char}(\pi_0 A)\neq 0$, then