11 citations · 27 across the 4 of their papers we have counts for
6 papers
On noncommutative equivariant bundles
Francesco D'Andrea, Alessandro De Paris
We discuss a possible noncommutative generalization of the notion of an equivariant vector bundle. Let be a -algebra, a left -module, a Hopf …
The asymptotic leading term for maximum rank of ternary forms of a given degree
Alessandro De Paris
Let be the maximum Waring rank for the set of all homogeneous polynomials of degree in indeterminates with coefficients in an algebraically…
Every Ternary Quintic is a Sum of Ten Fifth Powers
Alessandro De Paris
To our knowledge at the time of writing, the maximum Waring rank for the set of all ternary forms of degree (with coefficients in an algebraically closed field of characteristi…
Generic Power Sum Decompositions and Bounds for the Waring Rank
Edoardo Ballico, Alessandro De Paris
A notion of open rank, related with generic power sum decompositions of forms, has recently been introduced in the literature. The main result here is that the maximum open rank fo…
A Proof that the Maximal Rank for Plane Quartics is Seven
Alessandro De Paris
At the time of writing, the general problem of finding the maximal Waring rank for homogeneous polynomials of fixed degree and number of variables (or, equivalently, the maximal sy…
A remark on Waring decompositions of some special plane quartics
Alessandro De Paris
This work concerns Waring decompositions of a certain kind of plane quartics of high rank. The main result is the following. Let x, l_1, ...., l_7 be linear forms and q a quadratic…