Tangent star cones

Journal fur die Reine und Angewandte Mathematik

Volumn 1997, Issue 483, 1997, Pages 23-60

[No Author Info available]

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444436548     PISSN: 00754102     EISSN: 14355345     Source Type: Journal    
DOI: 10.1515/crll.1997.483.23     Document Type: Article

References (45)

1. S. Abhyankar, Concepts of order and rank on a complex space, and a condition for normality Math. Ann. 141 (1960), 171-192.
2. M. Artin and M. Nagata, Residual intersections in Cohen-Macaulay rings J. Math. Kyoto Univ. 12 (1972), 307-323.
3. M. Ausländer, On the purity of the branch locus Amer. J. Math. 84 (1962), 116-125.
4. M. Ausländer and D. Buchsbaum, On ramification theory in noetherian rings Amer. J. Math. 81 (1959), 749-765.
5. L. Avramov and J. Herzog, The Koszul algebra of a codimension 2 embedding Math. Z. 175 (1980), 249-260.
6. R. Berger« Über verschiedene Differentenbegriffe Sitzungsber. Heidelberger Akad. Wiss, Math.-naturw. Kl., 1 (1960), 21-44.
7. R.-O. Buchweitz, Contributions à la théorie des singularités. Thèse, Université de Paris, 1981.
8. H. Cartan and S. Eilenberg, Homological Algebra Princeton University Press, 1956.
9. D. Cutkosky, Some new purity theorems with applications to simple connectivity of Lefschetz type Preprint.
10. L. van Gastel, Excess Intersections. Ph.D. Thesis, University of Utrecht, 1989.
11. L. van Gastel, Excess intersections and a correspondence principle Invent. Math. 103 (1991), 197-221.
12. R. Godement, Localités simples II Séminaire Cartan-Chevalley 8 (1955-1956).
13. A. Grothendieck, Eléments de Géométrie Algébrique. I-IV, Pubi. Math. IHES, 1960-1967.
14. A. Grothendieck, Cohomologie locale des faisceaux cohérents et Théorèmes de Lefschetz locaux et globaux (SGAII). Exposé X, Adv. Stud. Math. II, North Holland Publishing Co, Amsterdam 1968.
15. R. Hartshorne, Complete intersections and connectedness Amer. J. Math. 84 (1962), 497-508.
16. J. Herzog, A. Simis and W V Vasconcelos, Approximation complexes of blowing-up rings J. Algebra 74 (1982), 466-493.
17. J. Herzog, A. Simis and W.V. Vasconcelos, Koszul homology and blowing-up rings
18. J. Herzog, A. Simis and W. V Vasconcelos, On the arithmetic and homology of algebras of linear type Trans. Amer. Math. Soc. 283 (1984), 661-683.
19. J. Herzog, W.V. Vasconcelos and R. Villarreal, Ideals with sliding depth Nagoya Math. J. 99 (1985), 159-172.
20. M. Höchster, Properties of noetherian rings stable under general grade reduction Arch. Math. 24 (1973), 393-396.
21. C. Huneke, Determinantal ideals of linear type Arch. Math. 47 (1986), 324-329.
22. C. Huneke and M.E. Rossi, The dimension and components of symmetric algebras J. Algebra 98 (1986), 200-210.
23. C. Huneke and B. Ulrich, Residual intersections J. reine angew. Math. 390 (1988), 1-20.
24. K. Johnson, Immersion and embedding of projective varieties Acta Math. 140 (1978), 49-74.
25. G. Kennedy, Flatness of tangent cones of a family of hypersurfaces J. Algebra 128 (1990), 240-256.
26. E. Kunz, Die Primidealteiler der Differenten in allgemeinen Ringen J. reine angew. Math. 204 (1960), 165-182.
27. A. Kustin, M. Miller and B. Ulrich, Generating a residual intersection J. Algebra 146 (1992), 335-384.
28. S. Lichtenbaum, On the vanishing of Tor in regular local rings Illinois J. Math. 10 (1966), 220-226.
29. H. Matsumura, Commutative Algebra. Benjamin/Cummings, Reading, Massachusetts, 1980.
30. H. Matsumura, Commutative Ring Theory Cambridge University Press, 1986.
31. S. Me Adam, Asymptotic Prime Divisors. Lect. Notes Math. 1023, Springer-Verlag, Berlin - Heidelberg - New York 1983.
32. M. Nagata, On the purity of branch locus in regular local rings Illinois J. Math. 3 (1959), 328-333.
33. M. Nagata, Local Rings. Interscience, 1962.
34. J.-P. Serre, Algèbre Locale-Multiplicités. Lect. Notes Math. 11, Springer-Verlag, Berlin - Heidelberg - New York 1965.
35. A. Simis and W. V Vasconcelos, The syzygies of the conormal module Amer. J. Math. 103 (1981), 203-224.
36. A. Simis and W. V Vasconcelos, The Krull dimension and integrality of symmetric algebras Manuscr. Math. 61 (1988), 63-78.
37. B. Ulrich, Remarks on residual intersections. in: Free resolutions in Commutative Algebra and Algebraic Geometry, Sundance 1990 (D. Eisenbud and C. Huneke, eds.), Res. Notes Math. 2, Jones and Bartlett Publishers, Boston and London (1992), 133-138.
38. B. Ulrich, Parafactoriality and small divisor class groups Preprint.
39. B. Ulrich and W. V Vasconcelos, The equations of Rees algebras of ideals with linear presentation Math. Z. 214 (1994), 79-92.
40. W.V. Vasconcelos, Koszul homology and the structure of low codimension Cohen-Macaulay ideals Trans. Amer. Math. Soc. 301 (1987), 591-613.
41. W. Vogel, Lectures on Results on Bézout's Theorem. Tata Lect. Notes 74, Springer-Verlag, Berlin - Heidelberg - New York 1984.
42. K. Watanabe, T. Ishikawa, S. Tachibana and K. Otsuka, On tensor product of Gorenstein rings J. Math. Kyoto Univ. 9 (1969), 413-423.
43. J. We y man, Resolutions of the exterior and symmetric powers of a module J. Algebra 58 (1979), 333-341.
44. F.L. Zak, Projections of algebraic varieties Mat. Sb. 116 (158) (1981); Math. USSR Sb. 44 (1983), 535-544.
45. O. Zariski, On the purity of the branch locus of algebraic functions Proc. Nat. Acad. Sci. USA 44 (1958), 791-796.