Théorie combinatoire de la dimension d'une variété algébrique

Marc Giusti

Publications mathématiques et informatique de Rennes (1985)

  • Volume: 4, Issue: 4, page 163-172

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Giusti, Marc. "Théorie combinatoire de la dimension d'une variété algébrique." Publications mathématiques et informatique de Rennes 4.4 (1985): 163-172. <http://eudml.org/doc/274646>.

@article{Giusti1985,
author = {Giusti, Marc},
journal = {Publications mathématiques et informatique de Rennes},
keywords = {dimension of algebraic projective variety},
language = {fre},
number = {4},
pages = {163-172},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Théorie combinatoire de la dimension d'une variété algébrique},
url = {http://eudml.org/doc/274646},
volume = {4},
year = {1985},
}

TY - JOUR
AU - Giusti, Marc
TI - Théorie combinatoire de la dimension d'une variété algébrique
JO - Publications mathématiques et informatique de Rennes
PY - 1985
PB - Département de Mathématiques et Informatique, Université de Rennes
VL - 4
IS - 4
SP - 163
EP - 172
LA - fre
KW - dimension of algebraic projective variety
UR - http://eudml.org/doc/274646
ER -

References

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  2. [BU2] B. Buchberger, Ein algorithmisches Kriterium für die Lösbarkeit eines algebraisches Gleichungssystems, Aequationes Math.4 (1970), 374-383. Zbl0212.06401MR268178
  3. [BU3] B. Buchberger, A theoretical basis for the reduction of polynomials to canonical forms, ACM SIGSAM Bull., 39 (1976), 19-29. MR463136
  4. [D] M. Demazure, Notes informelles de calcul formel, prépublications Centre de Mathématiques de l'Ecole Polytechnique (1984). 3. Le monoïde de Mayr-Meyer. 4. Le théorème de complexité de Mayr-Meyer. 
  5. [GA1] A. Galligo, A propos du théorème de préparation de Weierstrass, Lect. Notes in Math.409 (1973), 543-579. Zbl0297.32003MR402102
  6. [GA2] A. Galligo, Algorithmes de construction de bases standard, preprint Université de Nice (1983). 
  7. [GI] M. Giusti, Some effectivity problems in polynomial ideal theory, in Eurosam 84, Lecture Notes in Computer Science174, Springer (1984), 159-171. Zbl0585.13010MR779123
  8. [GR] H. Grauert, Über die Deformationen isolierter Singularitäten analytischer Mengen, Inventiones Math.153 (1972) Zbl0237.32011MR293127
  9. [HI] H. Hironaka, Resolution of singularities of analgebraic variety over a field of characteristic zero, Ann. Math.79, (1964) 109-326. Zbl0122.38603MR199184
  10. [LA1] D. Lazard, Algèbre linéaire sur K [ x 1 , . . . , x n ] et élimination, Bull. Soc. Math. France, 105 (1977), 165-190. Zbl0447.13008
  11. [LA2] D. Lazard, Résolution des systèmes d'équations algébriques, Theoretical Computer Science15 (1981), 77-110. Zbl0459.68013MR619687
  12. [LA3] D. Lazard, Commutative algebra and computer algebra, Lect. Notes in Comp. Sciences144 (1982), 40-48. Zbl0552.68047MR680052
  13. [LA4] D. Lazard, Gröbner bases, Gaussian elimination and resolution of Systems of algebraic equations, in Eurocal 83, Lecture Notes in Computer Science162, Springer (1983). Zbl0539.13002MR774807
  14. [M-M] E. Mayr, A. Meyer, The complexity of the word problems for commutative semi-groups and polynomial ideals, Adv. in Maths.46 (1982), 305-329. Zbl0506.03007MR683204

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