Demailly's Conjecture for general and very general points
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916392030175232 |
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| author | Bisui, Sankhaneel Mahato, Dipendranath |
| author_facet | Bisui, Sankhaneel Mahato, Dipendranath |
| contents | We prove that at least $\left( \dfrac{(1+ε)2m}{N-1}+1+ε\right)^N$, where $0\leqslant ε<1$, many general points, satisfy Demailly's conjecture. Previously, it was known to be true for at least $(2m+2)^N$ many general points in arxiv.org/abs/2009.05022. We also study Demailly's conjecture for $m=3$ for ideal defining general and very general points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08535 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Demailly's Conjecture for general and very general points Bisui, Sankhaneel Mahato, Dipendranath Commutative Algebra We prove that at least $\left( \dfrac{(1+ε)2m}{N-1}+1+ε\right)^N$, where $0\leqslant ε<1$, many general points, satisfy Demailly's conjecture. Previously, it was known to be true for at least $(2m+2)^N$ many general points in arxiv.org/abs/2009.05022. We also study Demailly's conjecture for $m=3$ for ideal defining general and very general points. |
| title | Demailly's Conjecture for general and very general points |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2409.08535 |