@article{CM_1996__103_1_7_0, author = {Johnson, Mark and Ulrich, Bernd}, title = {Artin-Nagata properties and {Cohen-Macaulay} associated graded rings}, journal = {Compositio Mathematica}, pages = {7--29}, publisher = {Kluwer Academic Publishers}, volume = {103}, number = {1}, year = {1996}, mrnumber = {1404996}, zbl = {0866.13001}, language = {en}, url = {http://www.numdam.org/item/CM_1996__103_1_7_0/} }
TY - JOUR AU - Johnson, Mark AU - Ulrich, Bernd TI - Artin-Nagata properties and Cohen-Macaulay associated graded rings JO - Compositio Mathematica PY - 1996 SP - 7 EP - 29 VL - 103 IS - 1 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1996__103_1_7_0/ LA - en ID - CM_1996__103_1_7_0 ER -
Johnson, Mark; Ulrich, Bernd. Artin-Nagata properties and Cohen-Macaulay associated graded rings. Compositio Mathematica, Tome 103 (1996) no. 1, pp. 7-29. http://www.numdam.org/item/CM_1996__103_1_7_0/
1 Local reduction numbers and Cohen-Macaulayness of associated graded rings, preprint, 1994. | MR | Zbl
,2 Reduction number bounds on analytic deviation two ideals and Cohen-Macaulayness of associated graded rings, Comm. Algebra 23 (1995), 2003-2026. | MR | Zbl
and ,3 Reduction numbers, Rees algebras, and Pfaffian ideals, J. Pure and Applied Algebra, to appear. | MR | Zbl
, and ,4 An improved Briançon-Skoda theorem with applications to the Cohen-Macaulayness of Rees algebras, Math. Ann. 297 (1993), 343-369. | EuDML | MR | Zbl
and ,5 Reduction numbers, Briançon-Skoda theorems and depth of Rees algebras, preprint, 1993.
, and ,6 Residual intersections in Cohen-Macaulay rings, J. Math. Kyoto Univ. 12 (1972), 307-323. | MR | Zbl
and ,7 The Koszul algebra of a codimension 2 embedding, Math. Z. 175 (1980), 249-280. | EuDML | MR | Zbl
and ,8 Linear free resolutions and minimal multiplicities, J. Algebra 88 (1984), 89-133. | MR | Zbl
,9 Cohen-Macaulay Rees algebras and their specializations, J. Algebra 81 (1983), 202-224. | MR | Zbl
and ,10 On graded rings associated to analytic deviation one ideals, Amer. J. Math. 116 (1994), 905-919. | MR | Zbl
and ,11 On the Gorensteinness of graded rings associated to ideals of analytic deviation one, Contemporary Mathematics 159 (1994), 51-72. | MR | Zbl
and ,12 Cohen-Macaulay Rees algebras of ideals having analytic deviation two, Tohoku Math. J. 46 (1994), 573-586. | MR | Zbl
and ,13 Gorenstein graded rings associated to ideals of analytic deviation two, preprint, 1993. | Zbl
and ,14 Cohen-Macaulayness in graded rings associated to ideals, preprint, 1994. | MR
, , and ,15 Equimultiplicity and Blowing-up, Springer Verlag, Berlin, 1988. | MR | Zbl
, and ,16 On reduction exponents of ideals with Gorenstein formrings, preprint, 1993. | Zbl
, and ,17 Koszul homology and blowing-up rings, in Commutative Algebra, Proceedings, Trento 1981 (S. Greco and G. Valla, Eds.), Lecture Notes in Pure and Applied Math. 84, Marcel Dekker, New York, 1983, 79-169. | MR | Zbl
, and ,18 On the canonical module of the Rees algebra and the associated graded ring of an ideal, J. Algebra 105 (1987), 285-302. | MR | Zbl
, and ,19 Ideals with sliding depth, Nagoya Math. J. 99 (1985), 159-172. | MR | Zbl
, and ,20 Powers of ideals having small analytic deviation, American J. Math. 114 (1992), 367-403. | MR | Zbl
and ,21 Rees algebras of ideals having small analytic deviation, Trans. Amer. Math. Soc. 339 (1993), 373-402. | MR | Zbl
and ,22 Symbolic powers of prime ideals and special graded algebras, Comm. Algebra 9 (1981), 339-366. | MR | Zbl
,23 The theory of d-sequences and powers of ideals, Adv. Math. 46 (1982), 249-279. | MR | Zbl
,24 On the associated graded ring of an ideal, Illinois J. Math. 26 (1982), 121-137. | MR | Zbl
,25 Linkage and Koszul homology of ideals, American J. Math. 104 (1982), 1043-1062. | MR | Zbl
,26 Strongly Cohen-Macaulay schemes and residual intersections, Trans. Amer. Math. Soc. 277 (1983), 739-763. | MR | Zbl
,27 Numerical invariants of liaison classes, Invent. Math. 75 (1984), 301-325. | MR | Zbl
,28 Residual intersections, J. reine angew. Math. 390 (1988), 1-20. | MR | Zbl
and ,29 Castelnuovo regularity and graded rings associated to an ideal, Proc. Amer. Math. Soc. 123 (1995), 727-734. | MR | Zbl
and ,30 Cohen-Macaulayness in graded algebras, Math. Research Letters 1 (1994), 149-157. | MR | Zbl
,31 Reductions of ideals in local rings, Math. Proc. Camb. Phil. Soc. 50 (1954), 145-158. | MR | Zbl
and ,32 Castelnuovo's regularity of graded rings and modules, Hiroshima Math. J. 12 (1982), 627-644. | MR | Zbl
,33 Cohen-Macaulay Rees algebras and degrees of polynomial relations, Math. Ann. 301 (1995), 421-444. | MR | Zbl
, and ,34 A grade five cyclic Gorenstein module with no minimal algebra resolutions, preprint. | Zbl
,35 Rees rings and associated graded rings of ideals having higher analytic deviation, Comm. Algebra 22 (1994), 4855-4898. | MR | Zbl
,36 Reduction exponent and degree bound for the defining equations of graded rings, Proc. Amer. Math. Soc. 101 (1987), 229-236. | MR | Zbl
,37 When is the Rees algebra Cohen-Macaulay ?, Comm. Algebra 17 (1989), 2893-2922. | MR | Zbl
and ,38 Artin-Nagata properties and reductions of ideals, Contemporary Mathematics 159 (1994), 373-400. | MR | Zbl
,39 The equations of Rees algebras of ideals with linear presentation, Math. Z. 214 (1993), 79-92. | MR | Zbl
and ,40 Form rings and regular sequences, Nagoya Math. J. 72 (1978), 93-101. | MR | Zbl
and ,41 Hilbert functions, analytic spread and Koszul homology, Contemporary Mathematics 159 (1994), 401-422. | MR | Zbl
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