2 citations · 2 across the 4 of their papers we have counts for
5 papers
Cubic surfaces as Pfaffians
David Oscari
We prove that every cubic surface in is Pfaffian. A constructive proof is given.
Pfaffian representations of plane curves
David Oscari
Let R be a commutative ring with 1. For every homogeneous polynomial f(X_0,X_1,X_2) in R[X_0,X_1,X_2] of degree d <= 25, we find a explicit linear Pfaffian R-representation of f. W…
Explicit linear pfaffian representations of plane curves up to degree 5
David Oscari
Let R be a commutative ring with 1. We prove that every homogeneous polynomial f(x_0,x_1,x_2) in R[x_0,x_1,x_2] up to degree 5 admits a linear Pfaffian R-representation. We believe…
On nonsingular two-step nilpotent Lie algebras
Jorge Lauret, David Oscari
A 2-step nilpotent Lie algebra n is called nonsingular if ad(X): n --> [n,n] is onto for any X not in [n,n]. We explore nonsingular algebras in several directions, including the cl…
On the existence of nilsolitons on 2-step nilpotent Lie groups
David Oscari
A 2-step nilpotent Lie algebra n is said to be of type (p,q)if dim(n)=p+q and dim([n,n])=p. By considering a class of 2-step nilpotent Lie algebras naturally attached to graphs, we…