TY - JOUR
AU - Mohammad, Abdul Moeed
PY - 2016/11/01
Y2 - 2024/07/21
TI - Smooth Rational Surfaces Of $d=11$ And $\pi=8$ In $\mathbb{P}^5$
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 119
IS - 2
SE - Articles
DO - 10.7146/math.scand.a-24742
UR - https://www.mscand.dk/article/view/24742
SP - 169-196
AB - 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 $h^1(\mathscr{O}_S(1))>0$. 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.
ER -