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pro vyhledávání: '"Angelini, Elena"'
Autor:
Angelini, Elena
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 the following conjecture towards a complete classification of all simul
Externí odkaz:
http://arxiv.org/abs/2304.03186
We prove the existence of ternary forms admitting apolar sets of points of cardinality equal to the Waring rank, but having different Hilbert function and different regularity. This is done exploiting liaison theory and Cayley-Bacharach properties fo
Externí odkaz:
http://arxiv.org/abs/2303.06780
Autor:
Angelini, Elena, Chiantini, Luca
In this paper we study the identifiability of specific forms (symmetric tensors), with the target of extending recent methods for the case of $3$ variables to more general cases. In particular, we focus on forms of degree $4$ in $5$ variables. By mea
Externí odkaz:
http://arxiv.org/abs/2106.06730
Autor:
Angelini, Elena, Chiantini, Luca
Publikováno v:
Math. of Comput. 91 (2022), 973-1006
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 problem is to determine whether the decomposition is minimal and unique. We
Externí odkaz:
http://arxiv.org/abs/2007.10165
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, in order to find all the possible decompositions of a given set of data
Externí odkaz:
http://arxiv.org/abs/1911.07769
Autor:
Angelini, Elena, Chiantini, Luca
Publikováno v:
Linear Algebra and its Applications 599 (2020) 36-65
We describe a new method to determine the minimality and identifiability of a Waring decomposition $A$ of a specific form (symmetric tensor) $T$ in three variables. Our method, which is based on the Hilbert function of $A$, can distinguish between fo
Externí odkaz:
http://arxiv.org/abs/1901.01796
Publikováno v:
In Economic Modelling March 2023 120
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 7, we use the analysis of the Hilbert function of a finite projective
Externí odkaz:
http://arxiv.org/abs/1811.01865
Autor:
Angelini, Elena
Publikováno v:
Journal of Symbolic Computation 91 (2019) 200-212
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 variables, degrees, respectively, 2,3,3,3 and rank 6, which are not identifi
Externí odkaz:
http://arxiv.org/abs/1803.00800