The Stacks project

Comments 1 to 20 out of 10460 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 fherzig left comment #11459 on Lemma 7.21.5 in Sites and Sheaves

Isn't (ii) already proved in Tag 7.13.3?


On left comment #11458 on Lemma 59.63.5 in Étale Cohomology

Fixed here.


On left comment #11457 on Section 14.32 in Simplicial Methods

See this.


On left comment #11456 on Lemma 14.32.2 in Simplicial Methods

Fixed here.


On left comment #11455 on Lemma 31.14.5 in Divisors

Fixed here.


On left comment #11454 on Lemma 67.37.9 in Morphisms of Algebraic Spaces

Fixed here.


On left comment #11453 on Lemma 59.63.3 in Étale Cohomology

Fixed here.


On left comment #11452 on Lemma 10.41.5 in Commutative Algebra

Hint: think of as an -module.


On left comment #11451 on Lemma 61.27.6 in Pro-étale Cohomology

Fixed here.


On left comment #11450 on Lemma 59.69.3 in Étale Cohomology

Tried to improve... here.


On left comment #11449 on Section 57.11 in Derived Categories of Varieties

Leaving as is.


On left comment #11448 on Section 10.33 in Commutative Algebra

We can't use Lemma 26.10.1 in this chapter.


On left comment #11447 on Example 5.8.10 in Topology

Fixed here.


On left comment #11446 on Remark 21.19.3 in Cohomology on Sites

Thanks for the references. Deligne tells me to not read paragraph 2.1, so I won't.


On left comment #11445 on Lemma 12.30.2 in Homological Algebra

Leaving as is.


On left comment #11444 on Lemma 4.14.8 in Categories

Going to leave as is.


On left comment #11443 on Section 21.35 in Cohomology on Sites

Fixed here.


On left comment #11442 on Remark 10.66.10 in Commutative Algebra

OK, I think you mean Lemma 10.66.13 for the finite case. I think the result in flat ring maps as stated in the paper by Lazard is false. As a counter example, I think you can take the ring map but then think of as a module over the flat -algebra .


On left comment #11441 on Section 4.8 in Categories

I made the change here but I'm not sure it is an improvement.


On left comment #11440 on Proposition 15.50.10 in More on Algebra

Fixed here.