Lower bounds for Waldschmidt constants and Demailly's Conjecture for general and very general points
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915236151296000 |
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| author | Bisui, Sankhaneel Nguyen, Thai Thanh |
| author_facet | Bisui, Sankhaneel Nguyen, Thai Thanh |
| contents | We prove Demailly's Conjecture concerning the lower bound for the Waldschmidt constant in terms of the initial degree of the second symbolic powers for any set of generic points or very general points in $\mathbb{P}^N$. We also discuss the Harbourne-Huneke Containment and the aforementioned Demailly's Conjecture for general points and show the results for sufficiently many general points and general points in projective spaces with low dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11297 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lower bounds for Waldschmidt constants and Demailly's Conjecture for general and very general points Bisui, Sankhaneel Nguyen, Thai Thanh Commutative Algebra Algebraic Geometry 14N20, 13F20, 14C20 We prove Demailly's Conjecture concerning the lower bound for the Waldschmidt constant in terms of the initial degree of the second symbolic powers for any set of generic points or very general points in $\mathbb{P}^N$. We also discuss the Harbourne-Huneke Containment and the aforementioned Demailly's Conjecture for general points and show the results for sufficiently many general points and general points in projective spaces with low dimensions. |
| title | Lower bounds for Waldschmidt constants and Demailly's Conjecture for general and very general points |
| topic | Commutative Algebra Algebraic Geometry 14N20, 13F20, 14C20 |
| url | https://arxiv.org/abs/2401.11297 |