Fujita's freeness conjecture in terms of local cohomology

Journal of Algebraic Geometry

Volumn 6, Issue 3, 1997, Pages 417-429

  Smith, Karen E ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744458659     PISSN: 10563911     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. [AS] Angehrn, U. and Siu, Y. T., Effective freeness and point separation for adjoint bundls, Invent. Math. (1906).
2. [BH] Bruns, W., and Herzog, J., Cohen-Macaulay rings, Cambridge University Press, New York, 1993.
3. [D] Demailly, J.-P., A numerical criterion for very ample line bundles, J. Diff. Geom. 37 (1993) 323-374.
4. [EGA] Grothendieck, A., Éléments de Géométrie Algébrique II, I.H.E.S. Publ. Math. 8 (1961) 5-222.
5. [EL] Ein, L. and Lazarsfeld, R., Global generation of pluricanonical and adjoint linear series on smooth projective three-folds, J. Amer. Math. Soc. 6 (1993) 875-903.
6. [E] Eisenbud, D., Commutative Algebra with a View towards Algebraic Geometry, Graduate Texts in Mathematics, vol. 150, Springer-Verlag, New York, 1995.
7. [FW] Fedder, R. and Watanabe, K.I., A characterization of F-regularity in terms of F-purity, in Commutative Algebra in MSRI Publications No. 15, Springer-Verlag, New York, 1989, pp. 227-245.
8. [F] Fujita T., On polarized manifolds whose adjoint bundles are not semi-positive, Algebraic Geometry 10 (1987), Sendai, Adv. Stud. Pure Math., T. Oda (ed.) 167-178.
9. [Ha] Hartshorne, R., Algebraic Geometry, Graduate Texts in Mathematics, vol. 52, Springer-Verlag, New York, 1987.
10. [HH1] Hochster, M., and Huneke, C., Tight closure, invariant theory, and the Briançon-Skoda theorem, Jour. Amer. Math. Soc. 3 (1990) 31-116.
11. [HH2] Hochster, M. and Huneke, C., Infinite integral extensions and big Cohen-Macaulay algebras, Annals of Mathematics 135 (1992) 53-89.
12. [HS] Huneke, C. and Smith, K. E., Tight closure and the Kodaira Vanishing Theorem, to appear in J. für die reine und angewandte Mathematik (Crelle's).
13. [K] Kawamata, On Fujita's freeness conjecture for threefolds and fourfolds (preprint).
14. [R] Reider, I., Vector bundles of rank 2 and linear systems on algebraic surfaces, Ann. of Math. 127 (1988) 309-316.
15. [S1] Smith, K. E., Tight closure of parameter ideals, Invent. Math. 115 (1994).
16. [S2] Smith, K. E., F-rational rings have rational singularities, American Jour. Math (to appear) (1997).
17. [S3] Smith, K. E., Test ideals in local rings, Trans. Amer. Math. Soc. 347 (1995) 3453-3472.
18. [S4] Smith, K. E., Vanishing, singularities, and effective bounds via prime characteristic local algebra, Proc. AMS Summer Institute in Algebraic Geometry, Santa Cruz, 1995, editors, J. Kollar and R. Lazarsfeld (to appear).
19. [V] Velez, J., Openness of the F-rational locus, smooth base change and Koh's conjecture, Thesis, University of Michigan (1993).