The Stacks project

Comments 1561 to 1580 out of 9050 in reverse chronological order.

\begin{equation*} \DeclareMathOperator\Coim{Coim} \DeclareMathOperator\Coker{Coker} \DeclareMathOperator\Ext{Ext} \DeclareMathOperator\Hom{Hom} \DeclareMathOperator\Im{Im} \DeclareMathOperator\Ker{Ker} \DeclareMathOperator\Mor{Mor} \DeclareMathOperator\Ob{Ob} \DeclareMathOperator\Sh{Sh} \DeclareMathOperator\SheafExt{\mathcal{E}\mathit{xt}} \DeclareMathOperator\SheafHom{\mathcal{H}\mathit{om}} \DeclareMathOperator\Spec{Spec} \newcommand\colim{\mathop{\mathrm{colim}}\nolimits} \newcommand\lim{\mathop{\mathrm{lim}}\nolimits} \newcommand\Qcoh{\mathit{Qcoh}} \newcommand\Sch{\mathit{Sch}} \newcommand\QCohstack{\mathcal{QC}\!\mathit{oh}} \newcommand\Cohstack{\mathcal{C}\!\mathit{oh}} \newcommand\Spacesstack{\mathcal{S}\!\mathit{paces}} \newcommand\Quotfunctor{\mathrm{Quot}} \newcommand\Hilbfunctor{\mathrm{Hilb}} \newcommand\Curvesstack{\mathcal{C}\!\mathit{urves}} \newcommand\Polarizedstack{\mathcal{P}\!\mathit{olarized}} \newcommand\Complexesstack{\mathcal{C}\!\mathit{omplexes}} \newcommand\Pic{\mathop{\mathrm{Pic}}\nolimits} \newcommand\Picardstack{\mathcal{P}\!\mathit{ic}} \newcommand\Picardfunctor{\mathrm{Pic}} \newcommand\Deformationcategory{\mathcal{D}\!\mathit{ef}} \end{equation*}

On left comment #8061 on Lemma 20.20.2 in Cohomology of Sheaves

A bit sad to remove this argument, but what you say may work better for most people. Thanks! See changes here.


On left comment #8060 on Section 109.6 in Moduli of Curves

Going to leave as is.


On left comment #8059 on Remark 19.13.5 in Injectives

Thanks and fixed here.


On left comment #8057 on Lemma 10.159.1 in Commutative Algebra

Going to leave as is for now.


On left comment #8056 on Section 33.38 in Varieties

Thanks and fixed here.


On left comment #8055 on Remark 36.38.7 in Derived Categories of Schemes

Thanks and fixed here.


On left comment #8054 on Section 36.6 in Derived Categories of Schemes

Made the changes you suggest, Anonymous, in this commit.


On left comment #8053 on Section 37.5 in More on Morphisms

Yes, you can define these. For example, we use them in Lemma 37.12.3. So hmm I guess we should make a precise definition somewhere and write a little bit about them... Feel free to do some work on this, whoever wants to (suggest to coordinate with me).


On left comment #8052 on Lemma 5.7.3 in Topology

Thanks to both of you. Fixed here


On Félix Baril Boudreau left comment #8051 on Section 61.28 in Pro-étale Cohomology

Small typo:

"In general neither the category of adic constructible sheaves nor the category of adic constructible sheaves is closed under kernels and cokernels. "


On left comment #8050 on Section 10.3 in Commutative Algebra

Thanks and fixed here.


On left comment #8049 on Section 11.3 in Brauer groups

Thanks and fixed here.


On left comment #8048 on Section 30.4 in Cohomology of Schemes

Thanks and fixed here.


On left comment #8047 on Section 60.4 in Crystalline Cohomology

Thanks and fixed here.


On left comment #8046 on Lemma 33.15.1 in Varieties

Thanks and fixed here.


On left comment #8045 on Definition 5.10.5 in Topology

With the definitions as given an equidimesional space can have dimension and (in the latter case it is empty).


On left comment #8043 on Section 39.4 in Groupoid Schemes

Thanks and fixed here.


On left comment #8042 on Lemma 13.28.5 in Derived Categories

Very good indeed. I have made the corresponding changes in this commit.


On left comment #8041 on Lemma 13.16.3 in Derived Categories

Thanks and fixed here.


On left comment #8040 on Proposition 15.78.3 in More on Algebra

Thanks and fixed here.