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Volumn 5, Issue 2, 1996, Pages 149-165

Singularities of toric varieties associated with finite distributive lattices

Author keywords

Associated graded ring; Distributive lattice; Singular locus; Toric variety

Indexed keywords


EID: 0039177105     PISSN: 09259899     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022469218716     Document Type: Article
Times cited : (20)

References (17)
  • 2
    • 5544264799 scopus 로고
    • The role of order in lattice theory
    • I. Rival (Ed.), D. Reidel, Dordrecht, Boston
    • R.P. Dilworth, "The role of order in lattice theory," in Ordered Sets, I. Rival (Ed.), D. Reidel, Dordrecht, Boston, 1982.
    • (1982) Ordered Sets
    • Dilworth, R.P.1
  • 4
    • 0002893741 scopus 로고
    • Introduction to toric varieties
    • Princeton U.P., Princeton, N.J.
    • W. Fulton, "Introduction to toric varieties," Annals of Math. Studies 131, Princeton U.P., Princeton, N.J., 1993.
    • (1993) Annals of Math. Studies 131
    • Fulton, W.1
  • 7
    • 0040355010 scopus 로고
    • Distributive lattices, affine semigroup rings, and algebras with straightening laws
    • Commutative Algebra and Combinatorics, M. Nagata and H. Matsumura (Eds.), North-Holland, Amsterdam
    • T. Hibi, "Distributive lattices, affine semigroup rings, and algebras with straightening laws," in Commutative Algebra and Combinatorics, M. Nagata and H. Matsumura (Eds.), Advanced Studies in Pure Math. 11, North-Holland, Amsterdam, 1987.
    • (1987) Advanced Studies in Pure Math. 11
    • Hibi, T.1
  • 8
    • 11244297264 scopus 로고
    • Hilbert functions of Cohen-Macaulay integral domains and chain conditions of finite partially ordered sets
    • T. Hibi, "Hilbert functions of Cohen-Macaulay integral domains and chain conditions of finite partially ordered sets," J. Pure and Applied Algebra 72 (1991), 265-273.
    • (1991) J. Pure and Applied Algebra , vol.72 , pp. 265-273
    • Hibi, T.1
  • 10
    • 0001662527 scopus 로고
    • Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes
    • M. Hochster, "Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes," Annals of Math. 96 (1972), 318-337.
    • (1972) Annals of Math. , vol.96 , pp. 318-337
    • Hochster, M.1
  • 12
    • 0002461494 scopus 로고
    • Hilbert functions of graded algebras
    • R.P. Stanley, "Hilbert functions of graded algebras," Advances in Math. 28 (1978), 57-83.
    • (1978) Advances in Math. , vol.28 , pp. 57-83
    • Stanley, R.P.1
  • 15
    • 0009124901 scopus 로고
    • On the Hilbert function of a graded Cohen-Macaulay domain
    • R.P. Stanley, "On the Hilbert function of a graded Cohen-Macaulay domain," J. Pure and Applied Algebra 73 (1991), 307-314.
    • (1991) J. Pure and Applied Algebra , vol.73 , pp. 307-314
    • Stanley, R.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.