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@article{CM_1993__86_2_147_0, author = {Avramov, Luchezar L. and Buchweitz, Ragnar-Olaf}, title = {Lower bounds for {Betti} numbers}, journal = {Compositio Mathematica}, pages = {147--158}, publisher = {Kluwer Academic Publishers}, volume = {86}, number = {2}, year = {1993}, mrnumber = {1214454}, zbl = {0786.13004}, language = {en}, url = {http://geodesic.mathdoc.fr/item/CM_1993__86_2_147_0/} }
Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf. Lower bounds for Betti numbers. Compositio Mathematica, Tome 86 (1993) no. 2, pp. 147-158. http://geodesic.mathdoc.fr/item/CM_1993__86_2_147_0/
[AC] Algèbre Commutative, Chapitres 8 et 9, Masson, Paris (1983). | Zbl | MR
,[B-E1] Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3, American Journal of Math. 99 (1977), 447-485. | Zbl | MR
and ,[B-E 2] Generic free resolutions and a family of generically perfect ideals, Adv. in Math. 18 (1975), 245-301. | Zbl | MR
and ,[Ch] Lower bounds for Betti numbers of multigraded modules, J. Algebra, 137 (1991), 491-500. | Zbl | MR
,[C-E] Problems on Betti numbers of finite length modules, in Free Resolutions in Commutative Algebra and Algebraic Geometry, ed. by D. Eisenbud and C. Huneke, Res. Notes Math. 2, Jones and Bartlett Publishers, Boston, (1992), 25-33. | Zbl | MR
and ,[C-E-M] Betti numbers for modules of finite length, Proceedings Amer. Math. Soc. 109 (1990), 63-70. | Zbl | MR
, , and ,[D-H-M] Modules of finite projective dimension with negative intersection multiplicities, Invent. Math. 79 (1985), 253-291. | Zbl | MR
, and ,[E-N] Ideals defined by matrices and a certain complex associated with them, Proc. Royal Soc., A, 269 (1962), 188-204. | Zbl | MR
and ,[E-G 1] Syzygies, London Math. Soc. Lecture Note Series 106, Cambridge Univ. Press (1985). | Zbl | MR
and ,[E-G2] Binomial behaviour of Betti numbers for modules of finite length, Pacific J. Math. 133 (1988), 267-276. | Zbl | MR
and ,[Ha] Algebraic vector bundles on projective spaces: a problem list, Topology 18 (1979), 117-128. | Zbl | MR
,[Ko] On the multiplicity of graded algebras, Math. Japonica 24 (1980), 643-655. | Zbl | MR
,[P-S] Syzygies et multiplicités, C.R.A.S. Sér. A-B 278 (1974), 1421-1424. | Zbl | MR
and ,[Ro] Intersection Theorems, in Commutative Algebra, ed. by M. Hochster, C. Huneke, J. D. Sally; MSRI Publications 15, Springer Verlag, New York, (1989), 417-437. | Zbl | MR
,[Sa] Horrocks' question for monomially graded modules, Pacific J. Math. 141 (1990), 105-124. | Zbl | MR
,[Sm] Dimension and multiplicity for graded algebras, J. Algebra 21 (1972), 149-173. | Zbl | MR
,