Seshadri constants on some blow-ups of projective spaces
| Autor: | Karmakar, Rupam, Roy, Praveen Kumar |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics, Vol 33, (2023) 2350097 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0129167X23500970 |
| Popis: | Let $X^n_{r,s}$ denote the blow-up of $\mathbb{P}^n$ along $r$ general lines and $s$ general points. In this paper, we focus on $l$-very ample line bundles on $X^n_{0,s}$ and investigate their Seshadri constants with some restrictions on $s$. Additionally, we compute the nef cone of $X^3_{r,0}$ for $r\leq 6$ and study the Seshadri constants of some ample line bundles on it. We also examine the Seshadri constants of some ample line bundles on $X^4_{r,0}$ ($r\leq 7$) and $X^5_{r,0}$ ($r \leq 5$). Comment: 17 pages, Published |
| Databáze: | arXiv |
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