Stacks project -- Comments

#5545 on tag 0AQ9 by PLACEMENT TRAINING

PLACEMENT TRAINING — Tue, 20 Oct 2020 02:42:39 GMT

Can’t tell a good article, because it is more than that, thanks keep going... PLACEMENT TRAINING https://www.gobrainwiz.in/pages/crt

#5544 on tag 05PT by Ingo Blechschmidt

Ingo Blechschmidt — Mon, 19 Oct 2020 08:55:23 GMT

But it is enough to suppose that $X$ is a (co-)cone of the diagram, and this observation is actually important in Lemma 05SH, as this lemma is (rightly) formulated without any exactness conditions on $F$ . Such conditions are not needed because any functor preserves (co-)cones even if it does not preserve (co-)limits.

#5543 on tag 09Z6 by Harry Gindi

Harry Gindi — Mon, 19 Oct 2020 04:45:22 GMT

The corresponding lemma in SGA4 (IX.2.14) asserts (1) for a map F into the product rather than the coproduct. Is this a typo?

#5540 on tag 03GN by Zhenhua Wu

Zhenhua Wu — Sat, 17 Oct 2020 02:47:46 GMT

Locally of finite type will suffice as universally closed morphism is quasi-compact, it's best to change this description in order to be consistent with tag 0AH6.

#5539 on tag 01BU by minsom

minsom — Fri, 16 Oct 2020 11:05:04 GMT

May I ask you something? In the proof of lemma 01BY (3) , how can we show that "There exists an open covering of $U$ such that on each open all the sections $\overline{s_i}$ lift to sections $s_i$ of $G$ ." ? For sheaf axiom , we need the fact ' for open cover $U_i$ , $U_j$ , each element is same in $U_i \cap U_j$ '

#5538 on tag 03J6 by Michael

Michael — Fri, 16 Oct 2020 04:34:14 GMT

It looks like there is a typo here. $(A_{\mathfrak{m}})$ should be $\dim_k(A_{\mathfrak{m}})$ and similiarly for $B$ . There is a total of three occurrences.

#5537 on tag 01YC by David Liu

David Liu — Thu, 15 Oct 2020 11:31:14 GMT

In the proof of lemma 01YH, why does $\mathcal{Q}$ and $\mathcal{Q}'$ have supports that are strictly contained in $Z_0$ ?

#5536 on tag 01IW by Zeyn Sahilliogullari

Zeyn Sahilliogullari — Thu, 15 Oct 2020 09:07:50 GMT

g∈A in the second to last sentence should be g∈B

#5535 on tag 0B10 by Chunhui Liu

Chunhui Liu — Thu, 15 Oct 2020 03:54:21 GMT

The reference is not precise. I think it is better to write [Chapter V, C), Section 7, formula (10), Serre_algebre_locale]

#5534 on tag 02ST by Chunhui Liu

Chunhui Liu — Thu, 15 Oct 2020 03:02:56 GMT

In the statement of the Lemma 02ST, I believe the last line should be $f_*(c_1(f^*L)∩[X])=c_1(L)∩[Y]$ .