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Sep 4, 2020 at 19:40 comment added cgodfrey Ah, good point. I'm not sure (edited accordingly). Sorry I can't elaborate further off the top of my head, since I don't have much working experience with weighted-blowups.
Sep 4, 2020 at 19:36 history edited cgodfrey CC BY-SA 4.0
not positice E is Cartier in the weighted case
Sep 3, 2020 at 9:03 comment added One More Question Thank you for your response. I know the case when all the weights are $1$; some other references for it are Lemma A.6.1 in Fulton's Intersection theory or, for a stronger statement, 1.3--1.4 in expose VII of SGA6. Could you elaborate on the argument in the general weighted case? For one thing, is $E$ still a Cartier divisor then?
Sep 1, 2020 at 21:26 history answered cgodfrey CC BY-SA 4.0