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Volumn 116, Issue 2, 1999, Pages 119-132

Derivation Algebras of Toric Varieties

Author keywords

Affine semigroup; Derivation; Lie algebra; Root space decomposition; Toric variety

Indexed keywords


EID: 0007145439     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1000612012255     Document Type: Article
Times cited : (3)

References (17)
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    • Hauser, H.1    Müller, G.2
  • 6
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    • Über die rechts-symmetrische Algebra und die Lie-Algebra der konvergenten Potenzreihen eines Banachraumes
    • Heinze, J.: Über die rechts-symmetrische Algebra und die Lie-Algebra der konvergenten Potenzreihen eines Banachraumes, Schriftenreihe Math. Inst. Univ. Münster 2. Ser. 16 (1979).
    • (1979) Schriftenreihe Math. Inst. Univ. Münster 2. Ser. , vol.16
    • Heinze, J.1
  • 8
    • 0001662527 scopus 로고
    • Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes
    • Hochster, M.: Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes, Ann. of Math. (2) 96 (1972), 318-337.
    • (1972) Ann. of Math. (2) , vol.96 , pp. 318-337
    • Hochster, M.1
  • 11
    • 0010961045 scopus 로고
    • Lie algebras attached to simplicial complexes
    • Müller, G.: Lie algebras attached to simplicial complexes, J. Algebra 177 (1995), 132-141.
    • (1995) J. Algebra , vol.177 , pp. 132-141
    • Müller, G.1
  • 12
    • 84966207127 scopus 로고
    • Dualizing complexes and affine semigroup rings
    • Schäfer, U. and Schenzel, P.: Dualizing complexes and affine semigroup rings, Trans. Amer. Math. Soc. 322 (1990), 561-582.
    • (1990) Trans. Amer. Math. Soc. , vol.322 , pp. 561-582
    • Schäfer, U.1    Schenzel, P.2
  • 13
    • 84972535831 scopus 로고
    • Derivations and integral closure
    • Seidenberg, A.: Derivations and integral closure, Pacific J. Math. 16 (1966), 167-173.
    • (1966) Pacific J. Math. , vol.16 , pp. 167-173
    • Seidenberg, A.1
  • 14
    • 0030546883 scopus 로고    scopus 로고
    • Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0
    • Siebert, T.: Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0, Math. Ann. 305 (1996), 271-286.
    • (1996) Math. Ann. , vol.305 , pp. 271-286
    • Siebert, T.1
  • 15
    • 0040875894 scopus 로고
    • Regular Lie rings of derivations
    • Skryabin, S. M.: Regular Lie rings of derivations, Moscow Univ. Math. Bull. 43(3) (1988), 56-58.
    • (1988) Moscow Univ. Math. Bull. , vol.43 , Issue.3 , pp. 56-58
    • Skryabin, S.M.1
  • 16
    • 0002461494 scopus 로고
    • Hilbert functions of graded algebras
    • Stanley, R. P.: Hilbert functions of graded algebras, Adv. in Math. 28 (1978), 57-83.
    • (1978) Adv. in Math. , vol.28 , pp. 57-83
    • Stanley, R.P.1
  • 17
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    • Affine semigroups and Cohen-Macaulay rings generated by monomials
    • Trung, N. V. and Hoa, L. T.: Affine semigroups and Cohen-Macaulay rings generated by monomials, Trans. Amer. Math. Soc. 298 (1986), 145-167.
    • (1986) Trans. Amer. Math. Soc. , vol.298 , pp. 145-167
    • Trung, N.V.1    Hoa, L.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.