메뉴 건너뛰기




Volumn 4, Issue 2 II, 2002, Pages 227-258

Koszul homology and lie algebras with application to generic forms and points

Author keywords

Generic forms; Generic points; Koszul homology; Lie algebra

Indexed keywords


EID: 18644366388     PISSN: 15320073     EISSN: 15320081     Source Type: Journal    
DOI: 10.4310/hha.2002.v4.n2.a11     Document Type: Article
Times cited : (27)

References (35)
  • 1
    • 0002238996 scopus 로고
    • On the non-existence of elements of Hopf invariant one
    • [Ad 60] J.F. Adams, On the non-existence of elements of Hopf invariant one, Annals of Math. 72 (1960).
    • (1960) Annals of Math. , vol.72
    • Adams, J.F.1
  • 2
    • 0000178968 scopus 로고
    • Noncommutative graded algebras and their Hilbert series
    • [An 82] D. Anick, Noncommutative graded algebras and their Hilbert series, J. Algebra 78 (1982), 120-140.
    • (1982) J. Algebra , vol.78 , pp. 120-140
    • Anick, D.1
  • 3
    • 0013201495 scopus 로고
    • On the Hopf algebra of a local ring
    • [Av 74] L. Avramov, On the Hopf algebra of a local ring, Isv. Akad. Nauk. SSSR, Ser. mat., 38 (1974), 253-277:
    • (1974) Isv. Akad. Nauk. SSSR, Ser. Mat. , vol.38 , pp. 253-277
    • Avramov, L.1
  • 4
    • 18644367957 scopus 로고
    • English translation
    • English translation: Math. USSR, Izv. 8 (1974).
    • (1974) Math. USSR, Izv. , vol.8
  • 5
    • 0003000134 scopus 로고
    • Local algebra and rational homotopy
    • Homotopie Algébrique et Algèbre Locale
    • [Av 84] L. Avramov, Local algebra and rational homotopy, in: Homotopie Algébrique et Algèbre Locale, Astérisque 113/114 (1984) 15-43.
    • (1984) Astérisque , vol.113-114 , pp. 15-43
    • Avramov, L.1
  • 6
    • 0003051127 scopus 로고
    • 3
    • Proc. 1984 Vancouver conf. in alg. geom., AMS, Providence
    • 3, Proc. 1984 Vancouver conf. in alg. geom., 1-10, CMS Conf. Proc. 6, AMS, Providence, 1986.
    • (1986) CMS Conf. Proc. , vol.6 , pp. 1-10
    • Ballico, E.1    Geramita, A.V.2
  • 7
    • 0003143667 scopus 로고
    • How to compute the canonical module of a set of points
    • Algorithms in alg. geom. and appl. Santander, Birkhäuser, Basel
    • [Be-Kr 94] S. Beck, M. Kreuzer, How to compute the canonical module of a set of points, Algorithms in alg. geom. and appl. (Santander, 1994), Progr. Math 143, 51-78, Birkhäuser, Basel, 1996.
    • (1994) Progr. Math , vol.143 , pp. 51-78
    • Beck, S.1    Kreuzer, M.2
  • 8
    • 0009263932 scopus 로고
    • Dissertation KTH, Stockholm
    • [Bo 94] M. Boij, Artin level algebras, Dissertation KTH, Stockholm 1994.
    • (1994) Artin Level Algebras
    • Boij, M.1
  • 10
    • 84968475636 scopus 로고
    • Cohomology theory of Lie groups and Lie algebras
    • [Ch-Ei 48] C. Chevalley and S. Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc. 63 (1948), 85-124.
    • (1948) Trans. Amer. Math. Soc. , vol.63 , pp. 85-124
    • Chevalley, C.1    Eilenberg, S.2
  • 11
    • 0035561716 scopus 로고    scopus 로고
    • Koszul property for points in projective space
    • preprint acc. for publ.
    • [Co-Tr-Va 97] A. Conca, N. V. Trung, G. Valla, Koszul property for points in projective space, preprint 1997, acc. for publ. in Math. Scand.
    • (1997) Math. Scand.
    • Conca, A.1    Trung, N.V.2    Valla, G.3
  • 12
    • 18644369957 scopus 로고
    • Nets of alternating matrices and the linear syzygy conjecture
    • [Ei-Ko 94] D. Eisenbud, J. Koh, Nets of alternating matrices and the linear syzygy conjecture, Adv. Math. 106 (1994), 1-35.
    • (1994) Adv. Math. , vol.106 , pp. 1-35
    • Eisenbud, D.1    Koh, J.2
  • 13
    • 0033474618 scopus 로고    scopus 로고
    • Gale duality and free resolutions of ideals of points
    • [Ei-Po 99] D. Eisenbud, S. Popescu, Gale duality and free resolutions of ideals of points, Inventiones Math. 136 (1999), 419-449.
    • (1999) Inventiones Math. , vol.136 , pp. 419-449
    • Eisenbud, D.1    Popescu, S.2
  • 14
    • 0002542859 scopus 로고
    • Determination of a class of Poincaré series
    • [Fr 75] R. Fröberg, Determination of a class of Poincaré series, Math. Scand. 37 (1975), 29-39.
    • (1975) Math. Scand. , vol.37 , pp. 29-39
    • Fröberg, R.1
  • 15
    • 4243596549 scopus 로고
    • On Hubert series for commutative and noncommutative graded algebras
    • [Fr-Lö 91] R. Fröberg, C. Löfwall, On Hubert series for commutative and noncommutative graded algebras, J. Pure Appl. Algebra 76 (1991), 33-38.
    • (1991) J. Pure Appl. Algebra , vol.76 , pp. 33-38
    • Fröberg, R.1    Löfwall, C.2
  • 16
    • 38249041349 scopus 로고
    • Monomial ideals and points in projective space
    • [Ge-Gr-Ro 86] A. Geramita, D. Gregory, L. Roberts, Monomial ideals and points in projective space, J. Pure Appl. Algebra 40 (1986), 33-62.
    • (1986) J. Pure Appl. Algebra , vol.40 , pp. 33-62
    • Geramita, A.1    Gregory, D.2    Roberts, L.3
  • 20
    • 84972564931 scopus 로고
    • Perturbation theory in differential homological algebra II, Il
    • [Gu-La-St 91] V.K.A.M. Gugenheim, L. Lambe, J. Stasheff, Perturbation theory in differential homological algebra II, Il. J. Math., 35(1991), 359-373.
    • (1991) J. Math. , vol.35 , pp. 359-373
    • Gugenheim, V.K.A.M.1    Lambe, L.2    Stasheff, J.3
  • 22
    • 0000520416 scopus 로고
    • A homological characterization of complete intersections
    • [Gu 71] T. H. Gulliksen, A homological characterization of complete intersections, Comp. Math. 23 (1971), 251-255.
    • (1971) Comp. Math. , vol.23 , pp. 251-255
    • Gulliksen, T.H.1
  • 23
    • 0002155217 scopus 로고
    • Universal enveloping algebras and loop space homology
    • [Ha 92] S. Halperin, Universal enveloping algebras and loop space homology, J. Pure Appl. Algebra 83 (1992), 237-282.
    • (1992) J. Pure Appl. Algebra , vol.83 , pp. 237-282
    • Halperin, S.1
  • 25
    • 0000695899 scopus 로고
    • The linear syzygies of generic forms
    • [Ho-La 87] M. Hochster, D. Laksov, The linear syzygies of generic forms, Comm. Algebra 15 (1987), 227-239.
    • (1987) Comm. Algebra , vol.15 , pp. 227-239
    • Hochster, M.1    Laksov, D.2
  • 26
    • 51249174151 scopus 로고
    • Small models for chain algebras
    • [Hu-Ka 91] J. Huebschmann, T. Kadeishvili, Small models for chain algebras, Math. Z. 207, No.2 (1991), 245-280.
    • (1991) Math. Z. , vol.207 , Issue.2 , pp. 245-280
    • Huebschmann, J.1    Kadeishvili, T.2
  • 29
    • 38249002930 scopus 로고
    • The minimal resolution conjecture
    • [Lo 93] A. Lorenzini, The minimal resolution conjecture, J. Algebra 156 (1993), 5-35.
    • (1993) J. Algebra , vol.156 , pp. 5-35
    • Lorenzini, A.1
  • 30
    • 0002374020 scopus 로고
    • On the subalgebra generated by the one-dimensional elements in the Yoneda Ext-algebra
    • Algebra, Algebraic Topology and their Interactions (Springer, Berlin)
    • [Lö 86] C. Löfwall, On the subalgebra generated by the one-dimensional elements in the Yoneda Ext-algebra, in: Algebra, Algebraic Topology and their Interactions, Lecture Notes in Math. 1183, (Springer, Berlin 1986), 291-338.
    • (1986) Lecture Notes in Math. , vol.1183 , pp. 291-338
    • Löfwall, C.1
  • 31
    • 38149146505 scopus 로고
    • Central elements and deformations of local rings
    • [Lö 94] C. Löfwall, Central elements and deformations of local rings, J. Pure Appl. Algebra 91 (1994), 183-194.
    • (1994) J. Pure Appl. Algebra , vol.91 , pp. 183-194
    • Löfwall, C.1
  • 32
    • 0031586415 scopus 로고    scopus 로고
    • A nonnilpotent 1-2-presented graded Hopf algebra whose Hilbert series converges in the unit circle
    • [Lö-Ro 97] C. Löfwall, J.-E. Roos, A nonnilpotent 1-2-presented graded Hopf algebra whose Hilbert series converges in the unit circle, Adv. Math. 130 (1997), 161-200.
    • (1997) Adv. Math. , vol.130 , pp. 161-200
    • Löfwall, C.1    Roos, J.-E.2
  • 34
    • 84966241807 scopus 로고
    • Koszul resolution
    • [Pr 70] X. Priddy, Koszul resolution, Trans. A.M.S. 152 (1970), 39-60.
    • (1970) Trans. A.M.S. , vol.152 , pp. 39-60
    • Priddy, X.1
  • 35
    • 51249166836 scopus 로고
    • The minimal free resolution of the homogeneous ideal of s general points
    • [Wa 95] C. Walter, The minimal free resolution of the homogeneous ideal of s general points, Math. Z. 219 (1995), 231-234.
    • (1995) Math. Z. , vol.219 , pp. 231-234
    • Walter, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.