Twisting sheaf on projective space
= Twisting sheaf on projective space
{title2=$\mathcal O(d)$}
{wiki=Serre_twist}
The twisting sheaf $\mathcal O(d)$ on $\operatorname{Proj}k[x_0,\ldots,x_n]$ is associated with the shifted graded module $k[x_0,\ldots,x_n](d)$. For $d\geq0$, its global sections are the homogeneous polynomials of degree $d$.