3 citations · 3 across the 4 of their papers we have counts for
4 papers
Structures of the Length Seven Power Sum Decompositions of Ternary Quartics
Alessandro De Paris
Motivated by the search for a deeper understanding of tensor rank, in view of its computational complexity applications, we investigate a possible path to determine the maximum sym…
Corrigendum to "Reduced Tangent Cones and Conductor at Multiplanar Isolated Singularities"
Alessandro De Paris, Ferruccio Orecchia
We explicitly fix a mistake in a preliminary statement of our previous paper on the conductor at a multiplanar singularity. The correction is not immediate and, though the mistake…
High-rank ternary forms of even degree
Alessandro De Paris
We exhibit, for each even degree, a ternary form of rank strictly greater than the maximum rank of monomials. Together with an earlier result in the odd case, this gives the lower…
Scalar Differential Invariants of Symplectic Monge-Ampère Equations
Alessandro De Paris, Alexandre M. Vinogradov
All second order scalar differential invariants of symplectic hyperbolic and elliptic Monge-Ampère equations with respect to symplectomorphisms are explicitly computed. In particul…