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Volumn 224, Issue 3, 2010, Pages 1143-1166

A syzygetic approach to the smoothability of zero-dimensional schemes

Author keywords

Artinian algebras; Deformation theory; Hilbert scheme of points; Hilbert schemes; Punctual schemes; Smoothability; Syzygies

Indexed keywords


EID: 77952884519     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2010.01.009     Document Type: Article
Times cited : (20)

References (23)
  • 2
    • 0004207666 scopus 로고
    • Tata Institute of Fundamental Research, Bombay
    • Artin M. Deformations of Singularities 1976, Tata Institute of Fundamental Research, Bombay.
    • (1976) Deformations of Singularities
    • Artin, M.1
  • 4
    • 77952886417 scopus 로고
    • Winfriend Bruns, Udo Vetter, Determinantal rings, in: Monografías de Matemática (Mathematical Monographs), Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janeiro
    • Winfriend Bruns, Udo Vetter, Determinantal rings, in: Monografías de Matemática (Mathematical Monographs), vol. 45, Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, 1988.
    • (1988) , vol.45
  • 5
    • 0041974893 scopus 로고    scopus 로고
    • On Waring's problem for several algebraic forms
    • Carlini Enrico, Chipalkatti Jaydeep On Waring's problem for several algebraic forms. Comment. Math. Helv. 2003, 78:494-517.
    • (2003) Comment. Math. Helv. , vol.78 , pp. 494-517
    • Carlini, E.1    Chipalkatti, J.2
  • 7
    • 0002494497 scopus 로고
    • Hodge Algebras
    • Société Mathématique de France
    • De Concini Corrado, Eisenbud David, Procesi Claudio Hodge Algebras. Astérisque 1982, vol. 91. Société Mathématique de France.
    • (1982) Astérisque , vol.91
    • De Concini, C.1    Eisenbud, D.2    Procesi, C.3
  • 9
    • 33746348794 scopus 로고    scopus 로고
    • The Geometry of Syzygies
    • Springer-Verlag
    • Eisenbud David The Geometry of Syzygies. Graduate Texts in Mathematics 2005, vol. 229. Springer-Verlag.
    • (2005) Graduate Texts in Mathematics , vol.229
    • Eisenbud, D.1
  • 11
    • 0001419779 scopus 로고
    • Inverse system of a symbolic power. I
    • Emsalem J., Iarrobino A. Inverse system of a symbolic power. I. J. Algebra 1995, 174:1080-1090.
    • (1995) J. Algebra , vol.174 , pp. 1080-1090
    • Emsalem, J.1    Iarrobino, A.2
  • 12
    • 3543116137 scopus 로고    scopus 로고
    • Irreducible components of the equivariant punctual Hilbert schemes
    • Evain Laurent Irreducible components of the equivariant punctual Hilbert schemes. Adv. Math. 2004, 185:328-346.
    • (2004) Adv. Math. , vol.185 , pp. 328-346
    • Evain, L.1
  • 13
    • 0000975014 scopus 로고
    • Algebraic families on an algebraic surface
    • Fogarty John Algebraic families on an algebraic surface. Amer. J. Math. 1968, 90:511-521.
    • (1968) Amer. J. Math. , vol.90 , pp. 511-521
    • Fogarty, J.1
  • 15
    • 0000468027 scopus 로고    scopus 로고
    • T,q-Catalan numbers and the Hilbert scheme
    • Selected papers in honor of Adriano Garsia
    • Haiman Mark t,q-Catalan numbers and the Hilbert scheme. Discrete Math. 1998, 193:201-224.
    • (1998) Discrete Math. , vol.193 , pp. 201-224
    • Haiman, M.1
  • 16
    • 0002636665 scopus 로고
    • Reducibility of the families of 0-dimensional schemes on a variety
    • Iarrobino A. Reducibility of the families of 0-dimensional schemes on a variety. Invent. Math. 1972, 15:72-77.
    • (1972) Invent. Math. , vol.15 , pp. 72-77
    • Iarrobino, A.1
  • 17
    • 0007083594 scopus 로고
    • Some zero-dimensional generic singularities; finite algebras having small tangent space
    • Iarrobino A., Emsalem J. Some zero-dimensional generic singularities; finite algebras having small tangent space. Compos. Math. 1978, 36:145-188.
    • (1978) Compos. Math. , vol.36 , pp. 145-188
    • Iarrobino, A.1    Emsalem, J.2
  • 18
    • 84883790205 scopus 로고
    • The generic perfectness of determinantal schemes
    • Springer, Algebraic Geometry, Proc. Summer Meeting
    • Kleppe H., Laksov D. The generic perfectness of determinantal schemes. Lecture Notes in Math. 1979, vol. 732:244-252. Springer.
    • (1979) Lecture Notes in Math. , vol.732 , pp. 244-252
    • Kleppe, H.1    Laksov, D.2
  • 19
    • 51249182426 scopus 로고
    • Generic finite schemes and Hochschild cocycles
    • Mazzola Guerino Generic finite schemes and Hochschild cocycles. Comment. Math. Helv. 1980, 55:267-293.
    • (1980) Comment. Math. Helv. , vol.55 , pp. 267-293
    • Mazzola, G.1
  • 22
    • 77954012361 scopus 로고    scopus 로고
    • Isomorphism types of commutative algebras of finite rank over an algebraically closed field
    • Amer. Math. Soc. Computational Arithmetic Geometry
    • Poonen Bjorn Isomorphism types of commutative algebras of finite rank over an algebraically closed field. Contemp. Math. 2008, vol. 463. Amer. Math. Soc.
    • (2008) Contemp. Math. , vol.463
    • Poonen, B.1
  • 23
    • 77955273174 scopus 로고
    • Deformations of commutative algebras of class 2
    • Shafarevich I.R. Deformations of commutative algebras of class 2. Leningrad Math. J. 1990, 2(6):1335-1351.
    • (1990) Leningrad Math. J. , vol.2 , Issue.6 , pp. 1335-1351
    • Shafarevich, I.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.