The Stacks project

Comments 761 to 780 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 #8952 on Section 38.30 in More on Flatness

Thanks and fixed here.


On left comment #8951 on Lemma 10.8.8 in Commutative Algebra

It could be stated for any filtered category. Look at Lemma 4.21.5 to see that this isn't essentially stronger.


On left comment #8950 on Lemma 10.139.4 in Commutative Algebra

Thanks and fixed here.


On left comment #8949 on Lemma 4.27.10 in Categories

Going to leave this as is (unless others chime in). I reread the proof and it seems fine.


On left comment #8948 on Section 4.27 in Categories

To #8335 and #8337: I think that referring to the lemmas is the correct thing to do here.


On left comment #8947 on Lemma 4.27.6 in Categories

Going to leave as is.


On left comment #8946 on Lemma 10.140.4 in Commutative Algebra

Thanks and fixed here.


On left comment #8945 on Proposition 10.102.9 in Commutative Algebra

Thanks for pointing this out. I have added the dimension zero case discussion as you suggested. See changes here.


On Nablah left comment #8944 on Section 34.9 in Topologies on Schemes

In the last part of the proof of 03L7(Lemma 34.9.2), I cannot figure out why is quasi compact. Can anyone explain that or give me a hint?


On left comment #8943 on Lemma 15.88.8 in More on Algebra

This has now been done. See this change.


On left comment #8942 on Lemma 10.134.4 in Commutative Algebra

Thanks and fixed here.


On left comment #8941 on Section 17.23 in Sheaves of Modules

Thanks and fixed here.


On left comment #8940 on Lemma 10.63.20 in Commutative Algebra

Thanks for #8319 and fixed here. Thanks Rijul, but I used a different fix.


On left comment #8939 on Lemma 10.38.2 in Commutative Algebra

Thanks and fixed here.


On left comment #8938 on Section 48.19 in Duality for Schemes

Thanks and fixed here.


On left comment #8937 on Lemma 48.16.2 in Duality for Schemes

Already got fixed.


On left comment #8936 on Lemma 10.126.6 in Commutative Algebra

I replaced the argument in the second paragraph by one which uses no equations. I hope it is easier to parse. Thanks. Changes are here.


On left comment #8935 on Lemma 48.6.2 in Duality for Schemes

Thanks very much! Fixed here.


On left comment #8934 on Lemma 48.3.1 in Duality for Schemes

Thanks and fixed here.


On left comment #8933 on Lemma 15.27.4 in More on Algebra

Thanks and fixed here.