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\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 #6467 on Section 15.73 in More on Algebra

OK, I added this (missing) lemma in this commit. Thanks for the suggestion.


On left comment #6466 on Section 27.8 in Constructions of Schemes

@#6457: that would be correct, but what it says now is correct too and is the thing that is the lemma wants to say.


On left comment #6465 on Lemma 29.25.10 in Morphisms of Schemes

Yep. I added some references to the text in this commit.


On left comment #6464 on Lemma 10.29.6 in Commutative Algebra

THanks and fixed here.


On left comment #6463 on Section 10.29 in Commutative Algebra

Thanks and fixed here.


On left comment #6462 on Section 15.37 in More on Algebra

Thanks and fixed here.


On left comment #6461 on Section 10.161 in Commutative Algebra

Thanks and fixed here by renaming the instead.


On left comment #6460 on Section 15.34 in More on Algebra

Thanks and fixed here.


On Owen left comment #6459 on Section 15.73 in More on Algebra

It's simple consequence of the definition, but for the sake of completeness, perhaps it can be remarked that if is a ring and in are perfect complexes, then is perfect too, since the tensor product and direct sum of finite projective modules is finite projective.


On left comment #6458 on Section 10.117 in Commutative Algebra

Thanks and fixed here.


On Joshua Enwright left comment #6457 on Section 27.8 in Constructions of Schemes

Hi, I believe that the in part (5) of Lemma 27.8.4 should read


On Jonas Ehrhard left comment #6456 on Lemma 29.25.10 in Morphisms of Schemes

For the universality of the direct proof we use that being flat and being locally of finite presentation are both preserved under base change, right? I.e. 01U9 and01TS.


On Jonas Ehrhard left comment #6455 on Lemma 10.29.6 in Commutative Algebra

The statement should be:

"The image of a constructible subset of is constructible in ."


On Jonas Ehrhard left comment #6454 on Section 10.29 in Commutative Algebra

Constructible sets are defined in 04ZC, not 0059. Maybe add this to the text in the introduction?


On Yijin Wang left comment #6453 on Section 15.37 in More on Algebra

A minor lapse.In the first lemma,the third paragraph,the third line,'for some m not less than 1',the m should be n


On Yijin Wang left comment #6452 on Section 10.161 in Commutative Algebra

A minor lapses.In lemma 10.161.15,the third paragraph,R' should be R[r_1,...r_n] instead of R[x_1,...x_n]


On Yijin Wang left comment #6450 on Section 15.34 in More on Algebra

In lemma15.34.3,the first Jacobi-Zariski sequence,the last differential module should be Omega_{K'/k'},I think.


On left comment #6449 on Section 10.117 in Commutative Algebra

Oops,  my bad!


On PS left comment #6448 on Section 10.117 in Commutative Algebra

The reference has a condition.


On left comment #6447 on Section 5.23 in Topology

Thanks and fixed here.