Timeline for Automorphisms of singular varieties
Current License: CC BY-SA 3.0
7 events
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| Mar 4, 2016 at 16:39 | history | edited | Sándor Kovács | CC BY-SA 3.0 |
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| Mar 4, 2016 at 16:38 | comment | added | Sándor Kovács | Come on, ACL, this is not an article, you can't possibly expect me to properly attribute every single notion in an MO answer. The question was not "Who came up with this idea first?". When I write [reference] I mean that you can click on it, it tells you a place where it is stated. I thought it was useful to tell people what I actually mean by that word. I didn't say the result was Kollár's just that it can be found in that book. | |
| Mar 4, 2016 at 12:02 | comment | added | ACL | When you write “of Kollár”, do you mean that the existence of functorial resolutions should be attributed to him? I thought it was due to Bierstone-Milman and Encinas-Villamayor. In any case, I agre that Kollár's book is more than a practical and useful reference. | |
| Mar 4, 2016 at 6:38 | comment | added | Sándor Kovács | @Mark: You are right. But (I think) so am I! I wrote this hastily, but it is not wrong, just as it was it did not quite answer the question or more kindly put it did not have quite enough details. I think it is better now. Cheers! | |
| Mar 4, 2016 at 6:36 | history | edited | Sándor Kovács | CC BY-SA 3.0 |
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| Mar 4, 2016 at 2:38 | comment | added | user47305 | What properties of $g$ are you using here? It's certainly not true that it lifts to an automorphism on every resolution: maybe $X$ is already smooth, and $g$ blows up $X$ at some point that isn't fixed by $f$. Then the induced birational map contracts the exceptional divisor. | |
| Mar 4, 2016 at 1:41 | history | answered | Sándor Kovács | CC BY-SA 3.0 |