Multiplicité et formes éliminantes

Francesco Amoroso

Bulletin de la Société Mathématique de France (1994)

  • Volume: 122, Issue: 2, page 149-162
  • ISSN: 0037-9484

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Amoroso, Francesco. "Multiplicité et formes éliminantes." Bulletin de la Société Mathématique de France 122.2 (1994): 149-162. <http://eudml.org/doc/87684>.

@article{Amoroso1994,
author = {Amoroso, Francesco},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Chow form; elimination form; saturation of ideal of projective variety; Cohen-Macaulay ring},
language = {fre},
number = {2},
pages = {149-162},
publisher = {Société mathématique de France},
title = {Multiplicité et formes éliminantes},
url = {http://eudml.org/doc/87684},
volume = {122},
year = {1994},
}

TY - JOUR
AU - Amoroso, Francesco
TI - Multiplicité et formes éliminantes
JO - Bulletin de la Société Mathématique de France
PY - 1994
PB - Société mathématique de France
VL - 122
IS - 2
SP - 149
EP - 162
LA - fre
KW - Chow form; elimination form; saturation of ideal of projective variety; Cohen-Macaulay ring
UR - http://eudml.org/doc/87684
ER -

References

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  1. [A1] AMOROSO (F.). — Some remarks about algebraic independence measures in high dimension, Bull. Soc. Math. France, t. 117, 1989, p. 285-295. Zbl0706.11038MR90i:11076
  2. [A2] AMOROSO (F.). — Polynomial with high multiplicity, Acta Arith., t. LVI, 1990, p. 345-364. Zbl0688.10034MR92e:11073
  3. [C] CATANESE (F.). — Chow varieties, Hilbert scemes and Moduli spaces of surfaces of general type, J. Alg. Geom., t. 1, 1992, p. 561-595. Zbl0807.14006MR93j:14005
  4. [F] FULTON (W.). — Intersection Theory. — Springer-Verlag, New York, 1980. 
  5. [HIO] HERMANN (M.), IKEDA (S.) and ORBANZ (U.). — Equimultiplicity and Blowing up. — Springer-Verlag, New York, 1988. Zbl0649.13011
  6. [LT] LIPMAN (J.) and TEISSIER (B.). — Pseudo-rational local rings and a theorem of Briançon-Skoda about integral clousures of ideals, Michigan Math. J., t. 28, 1981, p. 97-116. Zbl0464.13005MR82f:14004
  7. [N1] NESTERENKO (Ju. V.). — Estimates for the characteristic function of a prime ideal, Mat. Sb., t. 123 (165), 1984, p. 11-34 et Math. USSR-Sb., t. 51, 1985, p. 9-32. Zbl0579.10030
  8. [N2] NESTERENKO (Ju. V.). — On algebraic independence of algebraic powers of algebraic numbers, Mat. Sb., t. 123 (4), 1984, p. 435-459 et Math. USSR-Sb., t. 51, 1985, p. 429-453. Zbl0549.10023
  9. [P1] PHILIPPON (P.). — Critères pour l'indépendance algébrique, Inst. Hautes Études Sci. Publ. Math., t. 64, 1986, p. 5-52. Zbl0615.10044MR88h:11048
  10. [P2] PHILIPPON (P.). — Théorème des zéros effectif et élimination, Sém. Théorie Nombres de Bordeaux, t. 1, 1989, p. 137-155. Zbl0743.11036MR91e:12003
  11. [W] WEIL (A.). — Foundations of Algebraic Geometry. — AMS 2nd ed., 1962. Zbl0168.18701MR26 #2439
  12. [ZS] ZARISKI (O.) and SAMUEL (P.). — Commutative Algebra. — vol. 2, Van Nostrand, Princeton 1960, Springer-Verlag, New York, 1968. Zbl0121.27801

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