Geometric Aspects of Polynomial Interpolation in More Variables and of Waring’s Problem
By C. Ciliberto. 2001
148 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Computational Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/6be936c19006332cd69358ff8d1d7feb2432525c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Igor Dolgachev
- Giorgio Ottaviani
- Alessandra Bernardi
- Luca Chiantini
- Pierre Comon
- Edoardo Ballico
- M. Catalisano
- Nick Vannieuwenhoven
In Computational Mathematics
- Alessandra Bernardi
- Igor Dolgachev
- Luca Chiantini
- Pierre Comon
- Giorgio Ottaviani
- Edoardo Ballico
- Nick Vannieuwenhoven
- Enrico Carlini
In Geometry and Topology
- Alessandra Bernardi
- Igor Dolgachev
- Luca Chiantini
- Giorgio Ottaviani
- Edoardo Ballico
- M. Catalisano
- Alessandro Gimigliano
- C. Ciliberto
Citations in the corpus
- Varieties with minimal secant degree and linear systems of maximal dimension on surfaces (2004, unknown): “(see, for instance, [13,17,29,35]).”
- On generic identifiability of symmetric tensors of subgeneric rank (2015, background): “As general sources on tensor decomposition, we refer to [13, 16, 23, 25, 34].”
- Decomposition of homogeneous polynomials with low rank (2010, background): “Hirschowitz all integers dim(σs(Xm,d)) are known ([1], [8], [5]).”
- On the Concept of k‐Secant Order of a Variety (2006, background): “We will not dwell however on this situation which is well known (see [5] for general information).”
- Classical Algebraic Geometry: A Modern View (2012, background): “Ciliberto [101], he had only a plausibility argument.”
- Induction for secant varieties of Segre varieties (2006, background): “The interested reader should also consider the accessible articles ([BM],[C]) for an overview of some related topics.”
- On the typical rank of real binary forms (2009, background): “For real or complex symmetric tensors decomposed in the complex field, this question has been answered, and enters the framework of theWaring problem [11,21].”
- The Hitchhiker Guide to: Secant Varieties and Tensor Decomposition (2018, background): “Our brief presentation is taken from [65, 64], which we suggest as excellent and very instructive deepening on this topic.”