2018/07/25 by Jafarloo, Iman Bahmani, Carlini, Enrico
#13P05 #14N20 #14T05 #Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1807.09550
In this paper we consider a generic degree d form F in n+1 variables. In particular, we investigate the existence of star configurations apolar to F, that is the existence of apolar sets of points obtained by the n -wise intersection of r general hyperplanes of ℙn . We present a complete answer for all values of (d,r,n) except for (d,d+1,2) when we present an algorithmic approach.