Abstract
For any ample line bundle $L$ on a projective toric variety of dimension $n$, it is known that the line bundle $L^{\otimes i}$ is normally generated if $i$ is greater than or equal to $n-1$. We prove that $L^{\otimes i}$ is also normally presented if $i$ is greater than or equal to $n-1$. Furthermore we show that $L^{\otimes i}$ is normally presented for $i\ge [n/2]+1$ if $L$ is normally generated.
Citation
Shoetsu Ogata. "On quadratic generation of ideals defining projective toric varieties." Kodai Math. J. 26 (2) 137 - 146, June 2003. https://doi.org/10.2996/kmj/1061901058
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