Ropes in protective space

Kyoto Journal of Mathematics

Volumn 36, Issue 2, 1996, Pages 251-278

  Migliore, Juan C ^a   Peterson, Chris ^a   Pitteloud, Yves ^b  

^a UNIVERSITY OF NOTRE DAME   (United States)

^b UNIVERSITÉ CÔTE D'AZUR   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030355274     PISSN: 0023608X     EISSN: None     Source Type: Journal    
DOI: 10.1215/kjm/1250518549     Document Type: Article

References (37)

1. D. Bayer and D. Eisenbud, Rational Ribbons: Double Structures on the Line, preprint.
2. D. Bayer and M. Stillman, A criterion for detecting m-regularity, Invent. Math., 87 (1987), 1-11.
3. D. Bayer and M. Stillman, Macaulay, a computer system for computing in Commutative Algebra and Algebraic Geometry.
4. A. Bertram, L. Ein and R. Lazarsfeld, Vanishing theorems, a theorem of Severi, and the equations defining projective varieties, J. Amer. Math. Soc., 4-3 (1991), 587-602.
5. K. Chandler, Hilbert functions of zero-dimensional schemes in uniform position, Ph.D. thesis, Harvard University (1992).
6. 3, in "Algebraic Curves and Projective Geometry, Proceedings (Trento, 1988)," Lecture Notes in Mathematics, Vol. 1389, Springer-Verlag (1989), 32-42.
7. N. Chiarli, Completeness and Non-Speciality of Linear Series on Space Curves and Deficiency of the Corresponding Linear Series on Normalization, in "The Curves Seminar at Queen's, vol. III," Queen's Papers in Pure and Applied Mathematics (1984).
8. D. Eisenbud and S. Goto, Linear free resolutions and minimal multiplicity, J. Algebra, 88 (1984), 89-133.
9. D. Eisenbud and J. Harris, Finite Projective Schemes in Linearly General Position, J. Algebraic Geometry, 1 (1992), 15-30.
10. D. Eisenbud and M. Hochster, A Nullstellensatz with nilpotents and Zariski's Main Lemma on holomorphic functions, J. Algebra, 58 (1979), 157-161.
11. D. Eisenbud, C. Huneke and W. Vasconcelos, Direct methods for primary decomposition. Invent. Math., 110 (1992), 207-235.
12. P. Ellia, Double structures and normal bundle of space curves, preprint.
13. D. Ferrand, Courbes gauches et fibrés de rang 2, C.R. Acad. Sc. Paris, 281 (1975), 345-347.
14. L. Fong, Rational Ribbons and Deformation of Hyperelliptic Curves, J. Algebraic Geometry, 2 (1993), 295-307.
15. A. V. Geramita, A. Gimigliano and Y. Pitteloud, On graded Betti numbers of some embedded n-folds, J. Alg., 301 (1995), 363-380.
16. n, J. Alg., 90 (1984), 528-555.
17. G. Gotzmann, Eine Bedingung fur die Flachheit und das Hilberpolynom eines graduierten Ringes, Math. Z., 158 (1978), 61-70.
18. L. Gruson, R. Lazarsfeld and C. Peskine, On a theorem of Castelnuovo, and the equations defining space curves, Invent. Math., 72 (1983), 491-506.
19. J. Harris, D. Eisenbud, Curves in Projective Space, Sem. de Mathématiques Supérieures -Université de Montréal (1982).
20. R. Hartshorne, Algebraic Geometry, Springer-Verlag, Graduate Texts in Mathematics, 52 (1977).
21. A. Iarrobino and V. Kanev, The Length of a Homogeneous Form, Determinantal Loci of Catalecticants and Gorenstein Algebras, preprint.
22. 3, Math. Ann., 285 (1989), 165-176.
23. A. Lorenzini, The Minimal Resolution Conjecture, J. Alg., 156 (1993), 5-35.
24. M. Martin-Deschamps and D. Perrin, Sur les bornes du module de Rao, C. R. Acad. Sci. Paris, 317 (1993), 1159-1162.
25. H. Matsumura, Commutative ring theory, Cambridge University Press, (1986).
26. J. Migliire, Geometric Invariants for Liaison of Space Curves, J. Alg., 99 (1986), 548-572.
27. J. Migliore, On Linking Double Lines, Trans. AMS, 294 (1986), 177-185.
28. 4, Pacific J. of Math., 130 (1987), 153-170.
29. J. Migliore, An Introduction to Deficiency Modules and Liaison Theory for Subschemes of Projective Space, (monograph) Global Analysis Research Center, Seoul National University, Lecture Notes Series No. 24 (1994).
30. C. Peskine and L. Szpiro, Liaison des variétés algébriques. I, Inv. Math., 26 (1974), 271-302.
31. C. Peterson, Applications of liaison theory to schemes supported on lines, growth of the deficiency module and low rank vector bundles, Ph.D. thesis, Duke Univesity (1994).
32. 3, Invent. Math., 50 (1979), 205-217.
33. P. Rao, On Self-Linked Curves, Duke Math. J., 49-2 (1982), 251-273.
34. M. S. Ravi, Regularity of Ideals and their Radicals, manuscripta math., 68 (1990), 77-87.
35. P. Schenzel, Notes on Liaison and Duality, J. Math, of Kyoto Univ., 22 (1982), 485-498.
36. B. Shiffman, Degree bounds for the division problem in polynomial ring, Michigan Math. J., 36 (1988), 163-171.
37. O. Zariski, A fundamental lemma from the theory of holomorphic functions on an algebraic variety, Ann. Mat. Pura Appl. Ser. 4, 29 (1949), 187-198.