Timeline for Kawamata BPF applied to a semi-positive line bundle using Demailly's holomorphic Morse inequalities
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| S Mar 13, 2023 at 8:58 | history | suggested | Invariance | CC BY-SA 4.0 |
Need to be more precise
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| Mar 12, 2023 at 19:02 | review | Suggested edits | |||
| S Mar 13, 2023 at 8:58 | |||||
| S Mar 5, 2023 at 9:40 | history | suggested | Invariance | CC BY-SA 4.0 |
The cited bpf Theorem by Kawamata is wrong
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| Mar 4, 2023 at 10:10 | comment | added | მამუკა ჯიბლაძე | @Invariance Which theorem do you mean? I believe it is about 6.1 in Kawamata's paper, no? | |
| Mar 4, 2023 at 8:53 | review | Suggested edits | |||
| S Mar 5, 2023 at 9:40 | |||||
| Feb 26, 2023 at 23:54 | comment | added | YangMills | small correction to my comment: what I meant to write is that in Mumford's example the line bundle is not semiample (not just bpf) | |
| Feb 26, 2023 at 21:30 | history | edited | Misha Verbitsky | CC BY-SA 4.0 |
applied a correction
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| Feb 26, 2023 at 21:22 | comment | added | Misha Verbitsky | many thanks! I would try to correct the question | |
| Feb 26, 2023 at 4:27 | comment | added | YangMills | Error: in Kawamata's BPF theorem you need to assume that $L^a\otimes K_M^{-1}$ is nef and big. Possible counterexample: Mumford's example (Ex. 4.3 in arxiv.org/pdf/1312.6402) has a nef and big line bundle which is not bpf, and yet it admits a smooth Hermitian metric with semipositive curvature. I think if you check the proof in that paper it should be true that the curvature is strictly positive away from a measure zero set. | |
| Feb 24, 2023 at 10:14 | history | asked | Misha Verbitsky | CC BY-SA 4.0 |