The Stacks project

Comments 2221 to 2240 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 #7329 on Lemma 37.37.2 in More on Morphisms

Hahaha! Very good and thank you. Change is here.


On left comment #7328 on Lemma 10.17.2 in Commutative Algebra

I am going to leave this as is.


On left comment #7327 on Definition 29.5.5 in Morphisms of Schemes

This is the definition used most often in the literature.


On left comment #7326 on Lemma 31.5.6 in Divisors

Thanks and fixed here.


On left comment #7325 on Lemma 10.66.7 in Commutative Algebra

Thanks and fixed here.


On left comment #7324 on Theorem 109.24.3 in Moduli of Curves

Thanks and fixed here.


On left comment #7323 on Lemma 4.41.2 in Categories

OK, I added it as a separate lemma and I put both of them in a new section on the 2 Yoneda lemma. Thanks very much. See this commit.


On left comment #7322 on Section 35.5 in Descent

Thanks and fixed here.


On left comment #7321 on Remark 42.8.2 in Chow Homology and Chern Classes

OK, I have tried to fix this by these changes.


On left comment #7320 on Lemma 30.4.3 in Cohomology of Schemes

It is also not always when does not have affine diagonal.


On left comment #7319 on Lemma 30.4.5 in Cohomology of Schemes

@#7145. Yes, you can prove this in some way like that.

@#7192: Thanks and fixed here.


On left comment #7318 on Lemma 31.15.8 in Divisors

Again thanks very much. The change is here.


On left comment #7317 on Lemma 10.145.2 in Commutative Algebra

Thanks! There must be a curse on this lemma. Changes are here.


On left comment #7316 on Section 27.4 in Constructions of Schemes

@#7185 yes I agree.


On left comment #7315 on Section 45.7 in Weil Cohomology Theories

Thanks and fixed here.


On left comment #7314 on Section 10.158 in Commutative Algebra

Yes. This follows from Theorem 10.158.9 above and Cartier's equality discussed in Section 15.34.


On left comment #7313 on Definition 26.20.3 in Schemes

Going to leave this as is for now, but of course you are right that strictly speaking this should be mentioned. There are many, many instances of this all over the place.


On left comment #7312 on Section 31.17 in Divisors

Thanks and fixed here.


On left comment #7311 on Lemma 10.119.7 in Commutative Algebra

Don't know.


On left comment #7310 on Lemma 37.49.1 in More on Morphisms

Thanks and fixed here.