20 citations · 93 across the 15 of their papers we have counts for
16 papers
A counterexample to a conjecture on simultaneous Waring identifiability
Elena Angelini
The new identifiable case appeared in \cite{AGMO}, together with the analysis on simultaneous identifiability of pairs of ternary forms recently developed in \cite{BG}, suggested t…
On the description of identifiable quartics
Elena Angelini, Luca Chiantini
In this paper we study the identifiability of specific forms (symmetric tensors), with the target of extending recent methods for the case of variables to more general cases. I…
Minimality and uniqueness for decompositions of specific ternary forms
Elena Angelini, Luca Chiantini
The paper deals with the computation of the rank and the identifiability of a specific ternary form. Often, one knows some short Waring decomposition of a given form, and the probl…
Catalecticant intersections and confinement of decompositions of forms
Elena Angelini, Cristiano Bocci, Luca Chiantini
We introduce the notion of confinement of decompositions for forms or vector of forms. The confinement, when it holds, lowers the number of parameters that one needs to consider, i…
On the identifiability of ternary forms
Elena Angelini, Luca Chiantini
We describe a new method to determine the minimality and identifiability of a Waring decomposition of a specific form (symmetric tensor) in three variables. Our method, whi…
Identifiability for a class of symmetric tensors
Elena Angelini, Luca Chiantini, Andrea Mazzon
We use methods of algebraic geometry to find new, effective methods for detecting the identifiability of symmetric tensors. In particular, for ternary symmetric tensors T of degree…
Waring decompositions and identifiability via Bertini and Macaulay2 software
Elena Angelini
Starting from our previous papers [AGMO] and [ABC], we prove the existence of a non-empty Euclidean open subset whose elements are polynomial vectors with 4 components, in 3 variab…
On complex and real identifiability of tensors
Elena Angelini
We report about the state of the art on complex and real generic identifiability of tensors, we describe some of our recent results obtained in [6] and we present perspectives on t…
Identifiability beyond Kruskal's bound for symmetric tensors of degree 4
Elena Angelini, Luca Chiantini, Nick Vannieuwenhoven
We show how methods of algebraic geometry can produce criteria for the identifiability of specific tensors that reach beyond the range of applicability of the celebrated Kruskal cr…
Real identifiability vs complex identifiability
Elena Angelini, Cristiano Bocci, Luca Chiantini
Let be a real tensor of (real) rank . is 'identifiable' when it has a unique decomposition in terms of rank tensors. There are cases in which the identifiability fai…
On the number of Waring decompositions for a generic polynomial vector
Elena Angelini, Francesco Galuppi, Massimiliano Mella +1
We prove that a general polynomial vector in three homogeneous variables of degrees has a unique Waring decomposition of rank 7. This is the first new c…
The Torelli problem for Logarithmic bundles of hypersurface arrangements in the projective space
Elena Angelini
Let be an arrangement of smooth hypersurfaces with normal crossings on the complex projective space and let $ Ω^{1}…
The action of the Cremona group on rational curves of
Elena Angelini, Massimiliano Mella
A Cremona transformation is a birational self-map of the projective space . Cremona transformations of form a group and this group has a ration…
Logarithmic bundles of multi-degree arrangements in
Elena Angelini
Let be a multi-degree arrangement with normal crossings on the complex projective space , with degrees $ d_{1}, ..., d_…
Logarithmic Bundles Of Hypersurface Arrangements In P^n
Elena Angelini
Let D = {D_{1},...,D_{l}} be an arrangement of smooth hypersurfaces with normal crossings on the complex projective space P^n and let Ω^{1}_{P^n}(log D) be the logarithmic bundle a…
Higher secants of spinor varieties
Elena Angelini
Let be the even pure spinors variety of a complex vector space of even dimension endowed with a non degenerate quadratic form and let be the -seca…