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Volumn 61, Issue 4, 2009, Pages 930-949

Prolongations and computational Algebra

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EID: 68849094934     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-2009-047-5     Document Type: Article
Times cited : (22)

References (22)
  • 1
    • 0037570572 scopus 로고    scopus 로고
    • Minimal basis for a connected Markov chain over 3 × 3 × K contingency tables with fixed two-dimensional marginals
    • S. Aoki and A. Takemura, Minimal basis for a connected Markov chain over 3×3×K contingency tables with fixed two-dimensional marginals. Aust. N. Z. J. Stat. 45(2003), no.2, 229-249. (Pubitemid 36614340)
    • (2003) Australian and New Zealand Journal of Statistics , vol.45 , Issue.2 , pp. 229-249
    • Aoki, S.1    Takemura, A.2
  • 3
    • 0031232428 scopus 로고    scopus 로고
    • The Magma algebra system I: The user language
    • W. Bosma, J. Cannon, and C. Playoust. The Magma algebra system. I. The user language. J. Symbolic Logic 24( 1997), no.3-4, 235-265. (Pubitemid 127167874)
    • (1997) Journal of Symbolic Computation , vol.24 , Issue.3-4 , pp. 235-265
    • Bosma, W.1    Cannon, J.2    Playoust, C.3
  • 6
    • 0010856332 scopus 로고    scopus 로고
    • The homogeneous ideals of higher secant varieties
    • DOI 10.1016/S0022-4049(00)00041-4, PII S0022404900000414
    • M. Catalano-Johnson, The homogeneous ideals of higher secant varieties. J. Pure Appl. Algebra 158(2001), no.2-3,123-129. (Pubitemid 33618545)
    • (2001) Journal of Pure and Applied Algebra , vol.158 , Issue.2-3 , pp. 123-129
    • Catalano-Johnson, M.1
  • 7
    • 0032387555 scopus 로고    scopus 로고
    • Algebraic algorithms for sampling from conditional distributions
    • P. Diaconis and B. Sturmfels, Algebraic algorithms for sampling from conditional distributions. Ann. Statis. 26(1998), no.1, 363-397. (Pubitemid 128055806)
    • (1998) Annals of Statistics , vol.26 , Issue.1 , pp. 363-397
    • Diaconis, P.1    Sturmfels, B.2
  • 8
    • 0003243860 scopus 로고
    • Commutative algebra: With a view toward algebraic geometry
    • Springer-Verlag, New York
    • D. Eisenbud, Commutative Algebra: with a View Toward Algebraic Geometry. Graduate Texts in Mathematics 150. Springer-Verlag, New York, 1995.
    • (1995) Graduate Texts in Mathematics , vol.150
    • Eisenbud, D.1
  • 10
    • 0007420103 scopus 로고
    • Some aspects of exterior differential systems
    • American Mathematical Society, Providence, RI
    • P. Griffiths, Some aspects of exterior differential systems. Proc. Symnpos Pure Math. 53. American Mathematical Society, Providence, RI, 1991, pp. 151-173.
    • (1991) Proc. Symnpos Pure Math. , vol.53 , pp. 151-173
    • Griffiths, P.1
  • 12
    • 14844318448 scopus 로고    scopus 로고
    • Cartan for Beginners: Differential geometry via moving frames and exterior differential systems
    • American Mathematical Society, Providence, RI
    • T. Ivey and J. M. Landsberg, Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems. Graduate Studies in Mathematics 61. American Mathematical Society, Providence, RI, 2003.
    • (2003) Graduate Studies in Mathematics , vol.61
    • Ivey, T.1    Landsberg, J.M.2
  • 13
    • 0037248639 scopus 로고    scopus 로고
    • On the projective geometry of rational homogeneous varieties
    • J.M. Landsberg and L. Manivel, On the projective geometry of rational homogeneous varieties. Comment. Math. Helv. 78(2003), no.1, 65-100. (Pubitemid 36404114)
    • (2003) Commentarii Mathematici Helvetici , vol.78 , Issue.1 , pp. 65-100
    • Landsberg, J.M.1    Manivel, L.2
  • 14
    • 10844229441 scopus 로고    scopus 로고
    • On the ideals of secant varieties of Segre varieties
    • -, On the ideals of secant varieties of Segre varieties. Found. Comput. Math. 4(2004), no.4, 397-422
    • (2004) Found. Comput. Math. , vol.4 , Issue.4 , pp. 397-422
  • 15
    • 0034165353 scopus 로고    scopus 로고
    • On the ideal of an embedded join
    • A. Simis and B. Ulrich, On the ideal of an embedded join. J. Algebra 226(2000), no.1, 1-14.
    • (2000) J. Algebra , vol.226 , Issue.1 , pp. 1-14
    • Simis, A.1    Ulrich, B.2
  • 16
    • 0003306410 scopus 로고    scopus 로고
    • Grbbner Bases and Convex Polytopes
    • American Mathematical Society, Providence, RI
    • B. Sturmfels, Grbbner Bases and Convex Polytopes. University Lecture Series 8. American Mathematical Society, Providence, RI, 1996.
    • (1996) University Lecture Series , vol.8
    • Sturmfels, B.1
  • 17
    • 15944419142 scopus 로고    scopus 로고
    • Toric ideals of phylogenetic invariants
    • DOI 10.1089/cmb.2005.12.204
    • B. Sturmfels and S. Sullivant, Toric ideals of phylogenetic invariants. J. Comput. Biology 12(2005), no.2, 204-228 (Pubitemid 40444588)
    • (2005) Journal of Computational Biology , vol.12 , Issue.2 , pp. 204-228
    • Sturmfels, B.1    Sullivant, S.2
  • 18
    • 34548364466 scopus 로고    scopus 로고
    • Combinatorial secant varieties
    • Combinatorial secant varieties. Pure Appl. Math. Q. 2(2006), no.2,285-309
    • (2006) Pure Appl. Math. Q. , vol.2 , Issue.2 , pp. 285-309
  • 19
    • 36248973272 scopus 로고    scopus 로고
    • Combinatorial Symbolic Powers
    • S. Sullivant, Combinatorial symbolic powers. J. Algebra 319(2008), no.1, 115-142.
    • (2008) J. Algebra , vol.319 , Issue.1 , pp. 115-142
    • Sullivant, S.1
  • 20
    • 0013466537 scopus 로고    scopus 로고
    • Some Results on Secant Varieties Leading to a Geometric Flip Construction
    • DOI 10.1023/A:1002663915504
    • P. Vermeire, Some results on secant varieties leading to a geometric flip construction. Compositio Math. 125(2001), no.3,263-282. (Pubitemid 33637531)
    • (2001) Compositio Mathematica , vol.125 , Issue.3 , pp. 263-282
    • Vermeire, P.1
  • 21
    • 2942680400 scopus 로고    scopus 로고
    • Cohomology of vector bundles and syzygies
    • Cambridge University Press, Cambridge
    • J. Weyman, Cohomology of Vector Bundles and Syzygies. Cambridge Tracts in Mathematics 149. Cambridge University Press, Cambridge, 2003.
    • (2003) Cambridge Tracts in Mathematics , vol.149
    • Weyman, J.1
  • 22
    • 0004109271 scopus 로고
    • Classical groups
    • Princeton University Press, Princeton, NJ
    • H. Weyl, Classical Groups. Their Invariants and Representations. Princeton University Press, Princeton, NJ, 1939.
    • (1939) Their Invariants and Representations
    • Weyl, H.1


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