The dimension of the determinantal scheme v_s(t,t,2) of the catalecticant matrix

References

• Cho , Y. and Jung , B. 1998 . Dimension of the tangent space of Gor(T) . Queen’s Papers in Pure and Applied Mathematics , 114 : 29 – 41 .
   Google Scholar
• Conca , A. and Valla , G. 1997 . Hilbert function of powers of ideals of low codimension preprint
   Google Scholar
• Davis , E.D. , Geramita , A.V. and Maroscia , P. 1984 . Perfect Homogeneous Ideals: Dubreil’s Theorems Revisited . Bull. Sc. Math , 108 : 143 – 185 . 2e serie
   Web of Science ®Google Scholar
• Diesel , S. 1996 . Some irreducibility and dimension theorems for families of height 3 Goren- stein algebras . Pacific J.Math , 172 ( 2 ) : 365 – 397 .
   Web of Science ®Google Scholar
• Geramita , A.V. 1996 . Waring’s Problem for Forms: Inverse Systems of Fat Points, Secant Varieties and Gorenstein Algebra . Queen’s Papers in Pure and Applied Math , 105 ( 2 ) : 1 – 129 .
   Google Scholar
• Geramita , A.V. , Pucci , M. and Shin , Y. 1996 . Smooth points of GOR(T) . Queen’s Papers in Pure and Applied Mathematics , 102 ( 2 ) : 256 – 297 .
   Google Scholar
• Gruson , L. and Peskine , C. 1982 . “ Courbes de l’espace projectif: variétés de sécantes ” . In Enumer- ative Geometry and Classical Algebraic Geometry , Edited by: LeBarz , P. and Hervier , Y. Vol. 24 , 1 – 31 . Boston : Birkhauser . Prog. Math
   Google Scholar
• Iarrobino , A. 1996 . Gorenstein Artin Algebras, Additive Decompositions of Forms and the Punctual Hilbert scheme . Proceedings of Hanoi conference in Commutative Algebra . 1996 . Edited by: Eisenbud , D. and Tuan Hoa , Le . Springer-Verlag . to appear
   Google Scholar
• Iarrobino , A. and Kanev , V. 1999 . Power sums, Gorenstein Algebras and Determinantal Loci 345+xxvii preprint
   Google Scholar
• Kleppe , J. 1998 . The smoothness and the dimension of PGOR(H) and of other strata of the punctual Hilbert scheme . J. Algebra , 200 : 606 – 628 .
   Google Scholar
• Stanley , R. 1978 . Hilbert functions of graded algebras . Adv. in Math , 28 : 57 – 83 .
   Web of Science ®Google Scholar
• Watanabe , J. 1996 . Hankel Matrices and Hankel ideals . Queen’s papers in Pure and Applied Mathematics , 102 : 351 – 363 .
   Google Scholar