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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

Sharp effective Nullstellensatz

Author(s): János Kollár
Journal: J. Amer. Math. Soc. 1 (1988), 963-975.
MSC: Primary 12E99; Secondary 11C08, 11J99, 13B25
MathSciNet review: 944576
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References:

[B1]
W. D. Brownawell, Bounds for the degrees in Nullstellensatz, Ann. of Math 126 (1987), 577-592. MR 916719 (89b:12001)

[B2]
-, Local Diophantine nullstellen inequalities, J. Amer. Math. Soc. 1 (1988), 311-322. MR 928261 (89h:11041)

[G]
A. Grothendieck, Local cohomology, Lecture Notes in Math., No. 41, Springer, New York, 1967. MR 0224620 (37:219)

[GH]
P. Griffiths and J. Harris, Principles of algebraic geometry, Wiley-Interscience, New York, 1978. MR 507725 (80b:14001)

[F]
W. Fulton, Intersection theory, Springer, New York, 1984. MR 732620 (85k:14004)

[H]
G. Hermann, Die Frage der endlich vielen Schritte in der Theorie der Polynomideale, Math. Ann. 95 (1926), 736-788. MR 1512302

[MM]
E. Mayr and A. Meyer, The complexity of the word problem for commutative semigroups and polynomial ideals, Adv. in Math. 46 (1982), 305-329. MR 683204 (84g:20099)

[MW]
D. W. Masser and G. Wüstholz, Fields of large transcendence degree generated by values of elliptic functions, Invent. Math 72 (1983), 407-464. MR 704399 (85g:11060)

[Sh]
B. Shiffman, Degree bounds for the Nullstellensatz and Bezout equation in arbitrary characteristic.

[Sk]
H. Skoda, Applications des techniques $ {L^2}$ a la théorie des idéaux algebre de fonctions holomorph avec poids, Ann. Sci. École Norm. Sup. 5 (1972), 545-579. MR 0333246 (48:11571)

[Te]
B. Tessier, Variétés polaires II, Algebraic Geometry, La Rabida, Lecture Notes in Math., No. 961, Springer, New York, pp. 314-491. MR 708342 (85i:32019)

[Th]
M. L. Thompson, Topics in the ideal theory of commutative Noetherian rings, Thesis, Univ. of Michigan, 1985, unpublished.

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Additional Information:

DOI: 10.1090/S0894-0347-1988-0944576-7
PII: S0894-0347-1988-0944576-7
Keywords: Nullstellensatz, polynomial rings, ideals
Copyright of article: Copyright 1988, American Mathematical Society




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