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arXiv · 2110.10114

Seshadri constants on some blow-ups of projective spaces

Rupam Karmakar·Praveen Kumar Roy
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Abstract

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 $X^5_{r,0}$ ($r \leq 5$).

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BibTeXRIS

Rupam Karmakar, Praveen Kumar Roy. 2021-10-19. Seshadri constants on some blow-ups of projective spaces. https://doi.org/10.1142/s0129167x23500970

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