7 citations · 9 across the 2 of their papers we have counts for
5 papers
Reducing the number of variables of a polynomial
Enrico Carlini
In this paper, we consider two basic questions about presenting a homogeneous polynomial f: how many variables are needed for presenting f? How can one find a presentation of f inv…
Codimension one decompositions and Chow varieties
E. Carlini
A presentation of a degree form in variables as the sum of homogenous elements ``essentially'' involving variables is called a {\em codimension one decomposition}. Co…
Osculating spaces to secant varieties
E. Ballico, C. Bocci, E. Carlini +1
We generalize the classical Terracini's Lemma to higher order osculating spaces to secant varieties. As an application, we address with the so-called Horace method the case of the…
Varieties of Sums of Powers for binary forms
E. Carlini
The problem of simultaneous decomposition of binary forms as sums of powers of linear forms is studied. For generic forms the minimal number of linear forms needed is found and the…
On Waring's problem for several homogeneous forms
Enrico Carlini, Jaydeep Chipalkatti
We reconsider the classical problem of representing a finite number of forms of degree d in n+1 variables as sums of powers of linear forms. We define a geometric construct called…