The Stacks project

Comments 1 to 20 out of 7105 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 #7613 on Section 4.2 in Categories

For the Stacks project our default kind of category has a set of objects and for every two objects a set of morphisms. But we also study some categories, such as the category of sets, where this is not the case; ideally these should all be listed in Remark 4.2.2. In particular, we make the meta-mathematical claim that the categories we use in the Stacks project whose objects and/or morphisms do not form a set can be listed. We appreciate help with this. Thanks!


On left comment #7612 on Lemma 4.24.9 in Categories

No.


On left comment #7611 on Lemma 59.69.3 in √Čtale Cohomology

THanks. Tried to improve here.


On left comment #7610 on Section 10.132 in Commutative Algebra

Tried to improve this a little bit. See here.


On left comment #7609 on Lemma 4.41.1 in Categories

Thanks. Fixed here.


On left comment #7608 on Lemma 10.157.6 in Commutative Algebra

We don't have to: the module has no embedded and no associated primes so (1) holds.


On left comment #7607 on Lemma 20.20.3 in Cohomology of Sheaves

Thanks for pointing out this confusing typo. Fixed here.


On left comment #7606 on Definition 8.3.1 in Stacks

Dear Hao Peng, a computer couldn't parse this definition. However, we assume the human reader has read Section 8.2 where it is explained that we use the morphisms from Lemma 4.33.7 to identify these things. I do agree the text could be improved somewhat and I am happy to get explicit suggestions.


On left comment #7605 on Lemma 15.22.10 in More on Algebra

Yes, this is good. I'm going to leave it for now. If we every need Bezout domains we'll add this (maybe with a new tag).


On left comment #7604 on Section 14.19 in Simplicial Methods

Very good. Fixed here.


On left comment #7603 on Section 53.23 in Algebraic Curves

OK, tried to clarify. See here.


On left comment #7602 on Section 38.21 in More on Flatness

Thanks. Added here.


On left comment #7601 on Item 4

I know it's just like this

Radar138 Radar138 Pola Gacor Banten


On left comment #7600 on Item 4

I don't understand what kind of markdown is. Is it like this

http://www.radar138slot.net/\ref{Radar138} http://www.radar138slot.net/\ref{Radar138} http://www.radar138slot.net/\ref{Radar138}


On left comment #7599 on Lemma 42.9.1 in Chow Homology and Chern Classes

Thanks, see here.


On left comment #7598 on Lemma 10.134.16 in Commutative Algebra

Thanks. Fixed here.


On left comment #7597 on Lemma 100.7.10 in Morphisms of Algebraic Stacks

Thanks. Fixed here.


On left comment #7596 on Lemma 31.22.12 in Divisors

This is now fixed by this commit.


On left comment #7595 on Lemma 17.30.5 in Sheaves of Modules

Thanks. Fixed here.


On Omri Zemer left comment #7594 on Lemma 10.110.3 in Commutative Algebra

Shouldn't the definition of the differential in the Koszul complex include instead if the written ?