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Comments 1461 to 1480 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 #8172 on Lemma 30.14.3 in Cohomology of Schemes

Thanks to y1k and y2k for suggesting these changes.

On left comment #8171 on Section 15.64 in More on Algebra

Thanks fixed here.

On left comment #8170 on Lemma 15.74.13 in More on Algebra

Thanks and fixed here.

On left comment #8169 on Lemma 42.24.3 in Chow Homology and Chern Classes

Thanks and fixed here.

On left comment #8168 on Lemma 10.136.14 in Commutative Algebra

OK, thanks for your comment. I have fixed this here by adding a reference to Lemma 10.136.13. I encourage the reader to prove directly that the map of Example 10.136.8 is finite free of positive rank directly.

On left comment #8167 on Section 48.27 in Duality for Schemes

Thanks for pointing out was undefined. The fix is here. In Lemma 48.27.1 the scheme is proper over a field and hence has finite dimension, see for example Lemma 29.28.5.

On left comment #8166 on Lemma 42.29.9 in Chow Homology and Chern Classes

Thanks and fixed here.

On left comment #8165 on Lemma 54.16.9 in Resolution of Surfaces

Thanks and fixed here.

On left comment #8164 on Lemma 13.4.17 in Derived Categories

OK, it turns out that the mild notational abuse already occurred in Lemma 13.4.11. I added the reference to Lemma 12.7.1 and slightly improved the text. Thanks! See changes.

On Fan left comment #8163 on Proposition 35.5.2 in Descent

In the proof of fully faithfulness, the displayed map probably should be

On Laurent Moret-Bailly left comment #8162 on Lemma 10.50.4 in Commutative Algebra

Johan, actually the analogy is disputable: "I will eat a blue whale" is a false sentence, but arguably makes sense. On the other hand, "" does not make sense, strictly speaking, without the provision that .

On left comment #8161 on Lemma 10.50.2 in Commutative Algebra

Thanks and fixed here.

On left comment #8160 on Lemma 39.9.8 in Groupoid Schemes

Thanks and fixed here.

On left comment #8159 on Lemma 10.50.4 in Commutative Algebra

OK, I am going to leave this alone, but I would like to defend it. First of all, it is not an issue in the proof. But even in the statement, I think it is OK. Namely the statement says that either or or both. So the question is whether in the English language the following makes sense: either the sky is blue or I will eat a blue whale or both. I think this does make sense even though I couldn't possibly eat a blue whale! I mean you just stop reading the sentence after the first occurence of blue, right?

On left comment #8158 on Lemma 15.13.1 in More on Algebra

Thanks and fixed here.

On left comment #8157 on Section 43.9 in Intersection Theory

Thanks and fixed here.

On left comment #8156 on Section 10.69 in Commutative Algebra

Thanks and fixed here.

On left comment #8155 on Lemma 59.28.1 in Étale Cohomology

Also, throughout the section the integer is in .

On left comment #8154 on Lemma 17.12.4 in Sheaves of Modules

OK, I put in a reference to the start of the section, see this commit.

On DatPham left comment #8153 on Theorem 101.21.6 in Morphisms of Algebraic Stacks

Typo: the formula should read .


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