Corrigendum to “On the cactus rank of cubics forms” [J. Symb. Comput. 50 (2013) 291–297, (S0747717112001332), (10.1016/j.jsc.2012.08.001)];On the cactus rank of cubics forms

Journal of Symbolic Computation

Volumn 50, Issue , 2013, Pages 291-297

  Bernardi, Alessandra ^a   Ranestad, Kristian ^b  

^a INRIA   (France)

^b UNIVERSITY OF OSLO   (Norway)

Author keywords

Apolarity; Cactus rank; Cubic forms

Indexed keywords

EID: 84870249499     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsc.2024.102354     Document Type: Erratum

References (20)

1. Alexander J., Hirschowitz A. Polynomial interpolation in several variables. J. Algebraic Geom. 1995, 4:201-222.
2. Ballico Edoardo, Casnati Gianfranco, Notari Roberto Canonical curves with low apolarity. J. Algebra 2011, 332:229-243.
3. Bernardi Alessandra, Gimigliano Alessandro, Idà Monica Computing symmetric rank for symmetric tensors. J. Symbolic Comput. 2011, 46:34-53.
4. Brachat Jerome, Comon Pierre, Mourrain Bernard, Tsigaridas Elias Symmetric tensor decomposition. Linear Algebra Appl. 2010, 433:1851-1872.
5. Buczynska Weronika, Buczynski Jaroslaw Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes arxiv:1012.3563.
6. Carlini Enrico, Catalisano Maria Virginia, Geramita Anthony Vito The solution to Waring's problem for monomials arxiv:1110.0745.
7. Casnati Gianfranco, Notari Roberto On the irreducibility and the singularities of the Gorenstein locus of the punctual Hilbert scheme of degree 10. J. Pure Appl. Algebra 2011, 215:1243-1254.
8. Casnati, Gianfranco, Notari, Roberto, in preparation. Irreducibility and singularities of the Gorenstein locus of the punctual Hilbert scheme of degree 11. Preliminary version.
9. Chiantini Luca, Ciliberto Ciro Weakly defective varieties. Trans. Amer. Math. Soc. 2002, 354:151-178.
10. De Poi Pietro, Zucconi Fransesco Gonality, apolarity and hypercubics. Bull. Lond. Math. Soc. 2011, 23:849-858.
11. De Poi Pietro, Zucconi Francesco Fermat hypersurfaces and subcanonical curves. Internat. J. Math. 2011, 22:1763-1785.
12. Elias Juan, Rossi Maria Evelina Isomorphism classes of short Gorenstein local rings via Macaulay's inverse system. Trans. Amer. Math. Soc. 2012, 364:4589-4604.
13. Iarrobino Anthony Compressed algebras: Artin algebras having socle degrees and maximal length. Trans. Amer. Math. Soc. 1984, 285(I):337-378.
14. Iarrobino Anthony Associated graded algebra of a Gorenstein Artin algebra. Mem. Amer. Math. Soc. 1994, 107(514).
15. Iarrobino Anthony, Kanev Vassil Power Sums, Gorenstein Algebras and Determinantal Loci. Lecture Notes in Math. 1999, vol. 1721. Springer-Verlag, Berlin, Heidelberg, New York.
16. Landsberg, Joseph M., Ottaviani, Giorgio, 2011. Equations for secant varieties of Veronese and other varieties, Ann. Mat. Pura Appl., doi:10.1007/s10231-011-0238-6.
17. Landsberg Joseph M., Teitler Zach On the ranks and border ranks of symmetric tensors. Found. Comput. Math. 2010, 10(3):339-366.
18. Oeding Luke, Ottaviani Giorgio Eigenvectors of tensors and algorithms for Waring decomposition arxiv:1103.0203.
19. Ranestad Kristian, Schreyer Frank-Olaf Varieties of sums of powers. J. Reine Angew. Math. 2000, 525:147-181.
20. Ranestad Kristian, Schreyer Frank-Olaf The variety of polar simplices arxiv:1104.2728.