@article{Mohammad_2016, title={Smooth Rational Surfaces Of $d=11$ And $\pi=8$ In $\mathbb{P}^5$}, volume={119}, url={https://www.mscand.dk/article/view/24742}, DOI={10.7146/math.scand.a-24742}, abstractNote={We construct a linearly normal smooth rational surface $S$ of degree $11$ and sectional genus $8$ in the projective five space. Surfaces satisfying these numerical invariants are special, in the sense that $h^1(\mathscr{O}_S(1))&gt;0$. Our construction is done via linear systems and we describe the configuration of points blown up in the projective plane. Using the theory of adjunction mappings, we present a short list of linear systems which are the only possibilities for other families of surfaces with the prescribed numerical invariants. }, number={2}, journal={MATHEMATICA SCANDINAVICA}, author={Mohammad, Abdul Moeed}, year={2016}, month={Nov.}, pages={169–196} }