Lemma 21.25.2 (0D6S)—The Stacks project

Processing math: 100%

Table of contents
Part 1: Preliminaries
Chapter 21: Cohomology on Sites
Section 21.25: Bounded cohomological dimension
Lemma 21.25.2 (cite)

previous situation
next lemma

numberstags

history
statistics
2 tags refer to this tag

This is [Proposition 2.1.4, six-I] with slightly changed hypotheses; it is the analogue of [Proposition 3.13, Spaltenstein] for sites.

Lemma 21.25.2. In Situation 21.25.1 for any $E \in D_\mathcal {A}(\mathcal{O})$ the map $E \to R\mathop{\mathrm{lim}}\nolimits \tau _{\geq -n} E$ of Derived Categories, Remark 13.34.4 is an isomorphism in $D(\mathcal{O})$ .

Proof. Follows immediately from Lemma 21.23.8. $\square$

Comments (0)

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$ ). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).

Comments (0)

Post a comment