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math.AG2017★ 14 cited
On generic and maximal k-ranks of binary forms
Samuel Lundqvist, Alessandro Oneto, Bruce Reznick +1
In what follows, we pose two general conjectures about decompositions of homogeneous polynomials as sums of powers. The first one (suggested by G. Ottaviani) deals with the generic…
math.AG2009
Non-vanishing forms in projective space over finite fields
Samuel Lundqvist
We consider a subset of projective space over a finite field and give bounds on the minimal degree of a non-vanishing form with respect to this subset.
math.AG2009
Multiplication matrices and ideals of projective dimension zero
Samuel Lundqvist
We introduce the concept of multiplication matrices for ideals of projective dimension zero. We discuss various applications and in particular, we give a new algorithm to compute t…