On Castelnuovo's regularity and Hilbert functions

 Access to full text

 Full (PDF)

1. [1] E. Ballico, On the defining equations of subvarieties in Pn. Boll. Un. Mat. Ital. A(6) 5 (1986) 243-246. Zbl0601.14041MR850294
2. [2] D. Bayer and M. Stillman, On the complexity of computing syzygies. J. Symbolic Comput.6 (1988) 135-147. Zbl0667.68053MR988409
3. [3] D. Eisenbud and S. Goto, Linear free resolutions and minimal multiplicity. J. Algebra88 (1984) 89-133. Zbl0531.13015MR741934
4. [4] H. Flenner, Die Sätze von Bertini für lokale Ringe. Math. Ann.229 (1977) 97-111. Zbl0398.13013MR460317
5. [5] V.A. Greenberg, A Castelnuovo bound for projective varieties admitting a stable linear projection onto a hypersurface. Thesis, Columbia university, 1987. 
6. [6] L. Gruson, R. Lazarsfeld and C. Peskine, On a theorem of Castelnuovo, and the equations defining space curves. Invent. Math.72 (1983) 491-506. Zbl0565.14014MR704401
7. [7] J. Harris (with the collaboration of D. Eisenbud), Curves in projective space. Les presses de l'Université, Montréal1982. MR685427
8. [8] L.T. Hoa, A note on projective monomial surfaces. Math. Nachr. (to appear). Zbl0765.14019MR1138379
9. [9] R. Lazarsfeld, A sharp Castelnuovo bound for smooth surfaces. Duke Math. J.55 (1987) 423-429. Zbl0646.14005MR894589
10. [10] D. Mumford, Lectures on curves on an algebraic surface. Ann of Math. Studies59, Princeton Univ. Press, Princeton, N.J., 1966. Zbl0187.42701MR209285
11. [11] U. Nagel, Castelnuovo-Regularität und Hilbertreihen. Math. Nachr.142 (1989) 27-43. Zbl0688.13008MR1017370
12. [12] U. Nagel and W. Vogel, Bounds for Castelnuovo's regularity and the genus of projective varieties. In: Topics in Algebra. Banach Center Publications, Volume 26. PWN-Polish Scientific Publishers, Warsaw1989 (to appear). Zbl0735.14032MR1171267
13. [13] A. Ooishi, Castelnuovo's regularity of graded rings and modules. Hiroshima Math. J.12 (1982) 627-644. Zbl0557.13007MR676563
14. [14] A. Ooishi, Genera and arithmetic genera of commutative rings. Hiroshima Math. J.17 (1987) 47-66. Zbl0625.13015MR886981
15. [15] P. Philippon, Lemmes de zéros dans les groupes algébriques commutatifs. Bull. Soc. math. France114 (1986) 355-383. Zbl0617.14001MR878242
16. [16] P. Quartararo Jr. and H.S. Butts, Finite unions of ideals and modules. Proc. Amer. Math. Soc.52 (1975) 91-96. Zbl0315.13001MR382249
17. [17] J. Rathmann, The uniform position principle for curves in characteristic p. Math. Ann.276 (1987) 565-579. Zbl0595.14041MR879536
18. [18] J. Rathmann, On the completeness of linear series cut out by hypersurfaces. Preprint, M.I.T., June 1988. 
19. [19] J.-P. Serre, Faisceaus algébriques cohérents. Ann. of Math.61 (1955) 197-278. Zbl0067.16201MR68874
20. [20] J. Stückrad and W. Vogel, Buchsbaum rings and applications. Springer, Berlin1986. Zbl0606.13018MR881220
21. [21] J. Stückrad and W. Vogel, Castelnuovo bounds for certain subvarieties in Pn. Math. Ann.276 (1987), 341-352. Zbl0628.14037MR870972
22. [22] J. Stückrad and W. Vogel, Castelnuovo bounds for locally Cohen-Macaulay schemes. Math. Nachr.136 (1988), 307-320. Zbl0662.14027MR952482
23. [23] J. Stückrad and W. Vogel, Castelnuovo's regularity and cohomological properties of sets of points in Pn. Math. Ann.284 (1989) 487-501. Zbl0652.14007MR1001716
24. [24] N.V. Trung and L.T. Hoa, Affine semigroups and Cohen-Macaulay rings generated by monomials. Trans. Amer. Math. Soc.298 (1986) 145-167. Zbl0631.13020MR857437
25. [25] W. Vogel, Letter to D. Eisenbud dated 5 October, 1987. 
26. [26] U. Nagel and W. Vogel, Castelnuovo's regularity of graded k-algebras and applications. Stud. Cerc. Mat. (in preparation). Zbl0735.14032