The Stacks project

Comments 1901 to 1920 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 #7667 on Lemma 42.58.1 in Chow Homology and Chern Classes

Going to leave as is.


On left comment #7666 on Lemma 27.10.7 in Constructions of Schemes

Going to leave as is.


On left comment #7665 on Lemma 42.30.2 in Chow Homology and Chern Classes

Lemma 42.35.1 cannot be used in the proof of this one as it comes later.


On left comment #7664 on Lemma 42.40.3 in Chow Homology and Chern Classes

I am leaving this as is.


On left comment #7663 on Lemma 28.3.3 in Properties of Schemes

Thanks. Tried to improve the exposition in this commit.


On left comment #7662 on Lemma 58.17.2 in Fundamental Groups of Schemes

See this commit.


On left comment #7661 on Section 97.18 in Criteria for Representability

Fixed here.


On left comment #7660 on Lemma 35.13.6 in Descent

Fixed here.


On left comment #7659 on Lemma 4.21.5 in Categories

Thanks very much. Fixed here.


On left comment #7658 on Definition 19.10.1 in Injectives

Thanks and fixed here.


On left comment #7657 on Proposition 35.3.9 in Descent

OK, I tried to improve the expostion, see this commit.


On left comment #7656 on Section 14.34 in Simplicial Methods

Thanks. Fixed here.


On left comment #7655 on Lemma 42.43.4 in Chow Homology and Chern Classes

Thanks. Fixed here.


On left comment #7654 on Definition 17.8.1 in Sheaves of Modules

Thanks. Fixed here.


On left comment #7653 on Section 7.10 in Sites and Sheaves

Thanks. Fixed here.


On algori left comment #7652 on Section 15.8 in More on Algebra

In lemma 0F7M, part (4), isn't it supposed to be "locally free of rank " rather than of rank ?


On left comment #7651 on Lemma 10.52.4 in Commutative Algebra

Very good! Fixed here.


On left comment #7650 on Section 43.17 in Intersection Theory

OK, yes, these two intersection products are the same. But we do not want to say this here, because the point of this chapter is to show how one can use the Tor formula to define an intersection product using the moving lemma, see the introduction to this chapter: Section 43.1. What we probably should do is at the end of this chapter add a section with comparisons between the various constructions. Anybody want to write it?


On left comment #7649 on Lemma 13.28.2 in Derived Categories

@#7517: I do not agree. @everyone: if you think there is an error in a proof, then please point out exactly what the error is.


On left comment #7648 on Section 59.31 in Étale Cohomology

Thanks. Fixed in this commit.