Timeline for Reference request: birational automorphism group is finite
Current License: CC BY-SA 4.0
9 events
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| Sep 8, 2018 at 21:03 | comment | added | Stefano | @FrancescoPolizzi Thank you for adding the second reference, I will have a look at it. As Chen Jiang hinted, I was interested in the proof of finiteness more than the size estimates. | |
| Sep 8, 2018 at 14:32 | history | edited | Francesco Polizzi | CC BY-SA 4.0 |
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| Sep 8, 2018 at 13:33 | history | edited | Francesco Polizzi | CC BY-SA 4.0 |
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| Sep 8, 2018 at 13:09 | comment | added | Francesco Polizzi | Ok, I see. I will provide an alternative reference. | |
| Sep 8, 2018 at 12:37 | comment | added | Chen Jiang | By "this problem", they mean "how large this group is", for example, bounded by a polynomial function of the volume. The finiteness is proved by Matsumura (which is known earlier that the above references except [3]). You can read page 1079 line -5 of HMX paper. | |
| Sep 8, 2018 at 12:04 | comment | added | Francesco Polizzi | At page 1078 (the second one of the paper) you can read "This problem has been extensively studied in higher dimensions; see, for example, [1], [3], [8], [10], [16], [30], and [31] for surfaces;[9], [26], [29], [32], and [33] in higher dimensions; and [5] for surfaces in characteristic $p$". Matsumura's article is [22]. | |
| Sep 8, 2018 at 11:59 | comment | added | Francesco Polizzi | And I think you missed the part "and at the references cited therein". | |
| Sep 8, 2018 at 11:57 | comment | added | Chen Jiang | I think you missed his point. In the paper of HMX they actually used the fact that the automorphism group is finte, which goes back to Matsumura. Hanamura’s paper also proved this. | |
| Sep 8, 2018 at 8:59 | history | answered | Francesco Polizzi | CC BY-SA 4.0 |