The Stacks project

Comments 1 to 20 out of 9516 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 #10434 on Lemma 10.147.1 in Commutative Algebra

Thanks. Fixed here.


On left comment #10433 on Lemma 10.136.14 in Commutative Algebra

Thanks. Fixed here.


On left comment #10432 on Lemma 10.86.3 in Commutative Algebra

Thanks Laurent! Fixed this here.


On left comment #10431 on Lemma 10.89.11 in Commutative Algebra

No. I think you are reading Remark 10.88.8 incorrectly. It doesn't say that every flat module is Mittag-Leffler -- it gives a criterion for when a flat module is Mittag-Leffler.


On left comment #10430 on Lemma 55.9.1 in Semistable Reduction

Thanks and fixed here.


On left comment #10429 on Lemma 96.9.3 in Sheaves on Algebraic Stacks

I think the maps are only defined in the sheaf case in the text.


On left comment #10428 on Section 27.10 in Constructions of Schemes

Thanks. Fixed here.


On left comment #10427 on Section 5.9 in Topology

@#9885 and #9886. Agree but going to leave as is.


On left comment #10426 on Section 10.50 in Commutative Algebra

Going to leave as is for now, but a reorg of this section may be in its future, I guess.


On left comment #10425 on Lemma 97.11.1 in Criteria for Representability

This is a limitation of our system (that we can't do this in formulas). Sorry. If you look at the pdf then it works fine.


On left comment #10424 on Lemma 36.11.5 in Derived Categories of Schemes

Thanks. Fixed here.


On left comment #10423 on Lemma 29.34.3 in Morphisms of Schemes

The text above the lemma indicates this and the converse direction is the (trivial) combination of 3 lemmas following shortly after this one. Going to leave as is.


On left comment #10422 on Proposition 42.57.1 in Chow Homology and Chern Classes

It is just that satisfies the equivalent conditios of Lemma 42.42.1 but I don't want to make a formal definition for this property.


On left comment #10421 on Section 10.57 in Commutative Algebra

Dear Yaowei, yes that's much better. THanks. Fixed here and this.


On left comment #10420 on Lemma 61.29.3 in Pro-étale Cohomology

Thanks Ben. Fixed here.


On left comment #10419 on Lemma 10.39.13 in Commutative Algebra

Did you try to do a diagram chase? Or use the snake lemma?

For everyone: if you do not understand a proof, please explain exactly the first problem you encounter with what is written in the text, i.e., point out exactly where things go awry first. After doing so, it would be great if you can indicate how things may be fixed.


On left comment #10418 on Lemma 10.158.4 in Commutative Algebra

Thanks. Fixed here.


On left comment #10417 on Lemma 27.8.11 in Constructions of Schemes

Thanks Kevin! Fixed here.


On left comment #10416 on Lemma 28.25.3 in Properties of Schemes

Since a map when restricted to becomes which is the same thing as a section of over . OK?


On left comment #10415 on Situation 42.67.1 in Chow Homology and Chern Classes

Thanks. Fixed here.