The Stacks project

Comments 1 to 20 out of 8473 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 Irwan left comment #9095 on Section 15.11 in More on Algebra

https://bento.me/dfgfgh

https://bento.me/freteaer

https://bento.me/xxcfx

https://bento.me/nbvc

https://bento.me/klpx

https://bento.me/sewxv

https://bento.me/erax

https://bento.me/kljx

https://bento.me/jhx

https://bento.me/geger

https://bento.me/ewex

https://bento.me/kjui

https://bento.me/ytres

https://bento.me/gtuh

https://bento.me/bgthx

https://bento.me/gtyuj

https://bento.me/btulx

https://bento.me/hgyuil

https://bento.me/khontl

https://bento.me/aminx

https://bento.me/juilx

https://bento.me/lhiklbv

https://bento.me/bhyuil

https://bento.me/momoc

https://progoentertainmentnews.wordpress.com/2024/05/08/film-review-the-fall-guy-and-the-light-storyline/

https://progoentertainment.blogspot.com/2024/05/film-review-fall-guy-2024.html

https://groups.google.com/g/onenews-daily/c/r7ezs1m9zrM

https://sites.google.com/view/onewsdailyscientists/

https://sway.cloud.microsoft/pOoPTwrsmnTyMb1v

https://sway.cloud.microsoft/pOoPTwrsmnTyMb1v?ref=Link

https://hackmd.io/@irwan100/HkS_9oK-T

https://telegra.ph/Scientists-Reveal-the-Mystery-of-the-Giant-Hole-in-Antarctica-05-07

https://www.zupyak.com/p/4155869/t/scientists-reveal-the-mystery-of-the-giant-hole-in-antarctica

https://pastelink.net/9r9r7ftq

https://click4r.com/posts/g/16717539/scientists-reveal-the-mystery-of-the-giant-hole-in-antarctica

https://irwan.diary.ru/p222001788_scientists-reveal-the-mystery-of-the-giant-hole-in-antarctica.htm

https://app.socie.com.br/read-blog/146605

https://www.ziparticle.com/?p=67170&preview=true

https://colab.research.google.com/drive/1sFp5uugcfAkCUpcoaWJdTRKSlDG3cE_q?usp=sharing

https://colab.research.google.com/drive/1sFp5uugcfAkCUpcoaWJdTRKSlDG3cE_q

https://open.firstory.me/story/clvxihywu00uz01wg9u4s2mi9

https://zendaya-story.blogspot.com/2024/05/tylas-sandy-gown-and-zendayas-floral.html

https://demo.hedgedoc.org/s/-zzZR99GN

https://ivpaste.com/v/ozhHqjXNeM

https://dev.bukkit.org/paste/e3c769c1

https://homment.com/noAcBHZSbroIsjSrEqRw

https://www.wowace.com/paste/693bbad1

https://jsitor.com/aevLMKmgB8Q

https://ctxt.io/2/AACo8BsBFg

https://paste.intergen.online/view/81e224da

https://snippet.host/oyxuuf

https://pastebin.freepbx.org/view/3782b0db

https://bitbucket.org/irwan100/workspace/snippets/Kdd6jj

https://pastebin.com/j3890KC2

https://rextester.com/QKYGV75924

https://textbin.net/vu6wdkttxt

https://paste.firnsy.com/paste/7MkXcv2N8gU

https://www.pastery.net/eswaqs/

https://paste.feed-the-beast.com/view/8e509e9b

https://paste.myconan.net/495636

https://pasteio.com/xpWsMcItgD7Z

http://pastie.org/p/5z7UpTskIZKdYWtDHqs1GC

https://paste.ee/p/FOUgz

https://etextpad.com/n1hp8fmioi

https://tempaste.com/IJ65rNkRVeV

https://paiza.io/projects/D7spnzpUCbycBPXB8zDWSw

https://justpaste.me/4uFn1

https://paste.azago.in/in8wv8M9F0

https://rentry.co/mt5g8p5w

https://pastelink.net/dkciruzl

https://paste.jp/4a0d37b8/

https://paste.rs/QJQ3N.txt

https://bitbin.it/AaBaFr1I/

https://paste2.org/cEfP4MZm

https://yamcode.com/movie-spain

https://ideone.com/C6d64A


On Christian Merten left comment #9094 on Lemma 10.138.14 in Commutative Algebra

It is not clear to me why the constructed is a right inverse to the projection : To prove this, we need to check that for each . Since is a right inverse, we have and by the construction of , . But is not necessarily equal to .

This can be fixed in the following way: Since , there exist such that If we adjoin the (finitely many) coefficients of the to , the above relation also holds in and we may conclude.


On left comment #9093 on Section 20.25 in Cohomology of Sheaves

Thanks and fixed here.


On left comment #9092 on Lemma 10.99.11 in Commutative Algebra

Tried to clarify in a slightly different way. See this.


On left comment #9091 on Lemma 10.134.12 in Commutative Algebra

No, it is not a splitting.


On left comment #9090 on Lemma 10.99.9 in Commutative Algebra

OK, I think that induction is needed but it wasn't clear because of the confusing typo in the last formula in the proof which I fixed here.


On left comment #9089 on Lemma 10.99.8 in Commutative Algebra

Yes, this is much better! Changes are here.


On left comment #9088 on Lemma 6.29.1 in Sheaves on Spaces

OK, I fixed the issue in the proof of (2) but I think the proof of (4) is correct as written now. Change is here.


On left comment #9087 on Lemma 10.5.4 in Commutative Algebra

OK, I made the changes except for the very last one. Thanks and changes are here.


On left comment #9086 on Lemma 34.9.2 in Topologies on Schemes

@#8641 Thanks. I added your example here and I updated the blog post as well.


On left comment #9085 on Lemma 34.9.2 in Topologies on Schemes

@#8469 Thanks and fixed here.


On left comment #9084 on Lemma 26.21.7 in Schemes

Thanks and fixed here.


On left comment #9083 on Lemma 26.21.9 in Schemes

Thanks.


On left comment #9082 on Lemma 26.18.2 in Schemes

Going to leave as is.


On left comment #9081 on Lemma 26.17.6 in Schemes

Going to leave as is.


On left comment #9080 on Section 26.18 in Schemes

Going to leave as is.


On left comment #9079 on Section 9.8 in Fields

Thanks and fixed here.


On left comment #9078 on Section 26.10 in Schemes

Going to leave as is.


On left comment #9077 on Section 10.113 in Commutative Algebra

OK. Fixed here.


On left comment #9076 on Lemma 66.27.3 in Properties of Algebraic Spaces

Excellent catch! I would say this was a bit worse than just a typo. I improved the statement and proof of this lemma a little bit here.