Stacks project -- Comments https://stacks.math.columbia.edu/recent-comments.xml Stacks project, see https://stacks.math.columbia.edu en stacks.project@gmail.com (The Stacks project) pieterbelmans@gmail.com (Pieter Belmans) https://stacks.math.columbia.edu/static/stacks.png Stacks project -- Comments https://stacks.math.columbia.edu/recent-comments.rss #6651 on tag 04PQ by 七海辣辣米 https://stacks.math.columbia.edu/tag/04PQ#comment-6651 A new comment by 七海辣辣米 on tag 04PQ. In lemma 04PU, the first line, 'by going up' should be 'by going down'.

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#6650 on tag 00L9 by Likun Xie https://stacks.math.columbia.edu/tag/00L9#comment-6650 A new comment by Likun Xie on tag 00L9. Lemma 10.63.13, don't we need $M$ to be finite over $S$? Proposition 10.63.6 is for finite module.

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Likun Xie Tue, 19 Oct 2021 09:42:28 GMT
#6649 on tag 0FWI by Media Online https://stacks.math.columbia.edu/tag/0FWI#comment-6649 A new comment by Media Online on tag 0FWI. pelajaran apa ini gak paham aku \ref{https://en.gravatar.com/galuhmaheswara/}

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Media Online Tue, 19 Oct 2021 06:11:35 GMT
#6648 on tag 04PS by 七海辣辣米 https://stacks.math.columbia.edu/tag/04PS#comment-6648 A new comment by 七海辣辣米 on tag 04PS. In lemma 04PS, the first paragraph, there is a missed 0 in the second exact sequence.

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#6647 on tag 087S by Phoebe https://stacks.math.columbia.edu/tag/087S#comment-6647 A new comment by Phoebe on tag 087S. Oh I was being stupid. I get it now. You can delete my comments.

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Phoebe Tue, 12 Oct 2021 07:28:57 GMT
#6646 on tag 087S by Phoebe https://stacks.math.columbia.edu/tag/087S#comment-6646 A new comment by Phoebe on tag 087S. Why does $\textbf{P}(\mathcal{E})=\textbf{P}(\mathcal{E}\otimes_{\mathcal{O}_S}\mathcal{L}^{\otimes n})$ follow from Lemma 27.20.1?

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Phoebe Tue, 12 Oct 2021 05:09:45 GMT
#6645 on tag 0B8Y by Laurent Moret-Bailly https://stacks.math.columbia.edu/tag/0B8Y#comment-6645 A new comment by Laurent Moret-Bailly on tag 0B8Y. For condition (6) one could of course weaken the assumption "If $k$ is perfect" to "If $\kappa(x)/k$ is separable".

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Laurent Moret-Bailly Tue, 12 Oct 2021 02:14:20 GMT
#6644 on tag 0B73 by WhatJiaranEatsTonight https://stacks.math.columbia.edu/tag/0B73#comment-6644 A new comment by WhatJiaranEatsTonight on tag 0B73. In the last row of the statement, gysin map should be Gysin map.

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WhatJiaranEatsTonight Sat, 09 Oct 2021 02:48:47 GMT
#6643 on tag 02TM by WhatJiaranEatsTonight https://stacks.math.columbia.edu/tag/02TM#comment-6643 A new comment by WhatJiaranEatsTonight on tag 02TM. I think the equation in the statement should be $i^*div_N(t)=c_1(N|_D)\cap[D]$. Otherwise, the element in the right is an element in $CH_{n-2}(X)$.(Though they are equal in the cycle level.)

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WhatJiaranEatsTonight Sat, 09 Oct 2021 02:26:35 GMT
#6642 on tag 02SU by WhatJiaranEatsTonight https://stacks.math.columbia.edu/tag/02SU#comment-6642 A new comment by WhatJiaranEatsTonight on tag 02SU. I do not know why it need to construct $X'$ and $Y'$. Can we reduce the conclusion to $X,Y$ integral merely by the linearity of two sides of the equation?

Does the requirement of the cycles to be "locally finite" but not "finite" matter?

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WhatJiaranEatsTonight Fri, 08 Oct 2021 07:48:49 GMT