Très bonnes bases du réseau de Brieskorn d'un polynôme modéré

Antoine Douai

Bulletin de la Société Mathématique de France (1999)

  • Volume: 127, Issue: 2, page 255-287
  • ISSN: 0037-9484

How to cite

top

Douai, Antoine. "Très bonnes bases du réseau de Brieskorn d'un polynôme modéré." Bulletin de la Société Mathématique de France 127.2 (1999): 255-287. <http://eudml.org/doc/87806>.

@article{Douai1999,
author = {Douai, Antoine},
journal = {Bulletin de la Société Mathématique de France},
keywords = {hypersurface singularities; Brieskorn lattice},
language = {fre},
number = {2},
pages = {255-287},
publisher = {Société mathématique de France},
title = {Très bonnes bases du réseau de Brieskorn d'un polynôme modéré},
url = {http://eudml.org/doc/87806},
volume = {127},
year = {1999},
}

TY - JOUR
AU - Douai, Antoine
TI - Très bonnes bases du réseau de Brieskorn d'un polynôme modéré
JO - Bulletin de la Société Mathématique de France
PY - 1999
PB - Société mathématique de France
VL - 127
IS - 2
SP - 255
EP - 287
LA - fre
KW - hypersurface singularities; Brieskorn lattice
UR - http://eudml.org/doc/87806
ER -

References

top
  1. [B] BIRKHOFF (G.D.). — Equivalent singular points of ordinary linear differential equations, Math. Annalen, t. 74, 1913, p. 134-139. Zbl44.0373.01JFM44.0373.01
  2. [Bo] BOREL (A.) et al.. — Algebraic D-Modules. — Perspective in Mathematics, vol. 2, Academic Press, 1987. Zbl0642.32001
  3. [BGMM] BRIANÇON (J.), GRANGER (M.), MAISONOBE (Ph.), MINICONI (M.). — Algorithme de calcul du polynôme de Bernstein, le cas non-dégénéré, Ann. Inst. Fourier, t. 39, 1989, p. 553-610. Zbl0675.32008
  4. [Br] BROUGHTON (S.A.). — Milnor numbers and the topology of polynomial hypersurfaces, Invent. Math., t. 92, 1988, p. 217-241. Zbl0658.32005MR89h:32025
  5. [D] DOUAI (A.). — Équations aux différences finies, intégrales de fonctions multiformes et polyèdres de Newton, Compositio Math., t. 87, 1993, p. 311-355. Zbl0803.32027MR94h:32060
  6. [DT] DOUAI (A.), TERAO (H.). — The determinant of a hypergeometric period matrix, Invent. Math., t. 128, 1997, p. 417-436. Zbl0866.33015MR98j:32046
  7. [DS] DIMCA (A.), SAITO (M.). — On the cohomology of a general fiber of a polynomial map, Compositio Math., t. 85, 1993, p. 299-309. Zbl0824.14016MR94b:32060
  8. [K] KOUCHNIRENKO (A.G.). — Polyèdres de Newton et nombres de Milnor, Invent. Math., t. 32, 1976, p. 1-31. Zbl0328.32007MR54 #7454
  9. [KV] KHOVANSKII (A.), VARCHENKO (A.N.). — Asymptotics of integrals over vanishing cycles and the Newton polyhedron, Soviet. Math. Dokl., t. 32, 1985, p. 122-127. Zbl0595.32012MR87e:32012
  10. [LS] LOESER (F.), SABBAH (C.). — Équations aux différences finies et déterminants d'intégrales de fonctions multiformes, Comment. Math. Helv., t. 66, 1991, p. 458-503. Zbl0760.39001MR93a:32057
  11. [M] MALGRANGE (B.). — Déformations de systèmes différentiels et microdifférentiels, dans Mathématique et Physique, Prog. in Math., Birkhauser, t. 37, 1983, p. 353-379. Zbl0528.32016MR85h:58160
  12. [Ph] PHAM (F.). — Singularités des systèmes de Gauss-Manin. — Progress in Math, vol. 2, Birkhauser, Boston, 1980. 
  13. [Ph1] PHAM (F.). — Vanishing homologies and the n variable saddlepoint method, A.M.S. Proc. Symp. Pure Math., t. 40, 1983, p. 319-333. Zbl0519.49026MR85d:32026
  14. [S] SABBAH (S.). — Hypergeometric periods for a tame polynomial. — Preprint. Zbl1113.14011
  15. [S1] SAITO (M.). — On the structure of Brieskorn lattice, Ann. Inst. Fourier, t. 39, 1989, p. 27-72. Zbl0644.32005MR91i:32035
  16. [S2] SAITO (M.). — Comment lire mon article “On the structure of Brieskorn lattice”?. — Notes manuscrites. 
  17. [S3] SAITO (M.). — Exponents and Newton polyhedra of isolated hypersurface singularities, Math. Ann., t. 281, 1988, p. 411-417. Zbl0628.32038MR89h:32027
  18. [S4] SAITO (M.). — Modules de Hodge polarisables, Publ. RIMS, Kyoto Univ, t. 24, 1988, p. 849-995. Zbl0691.14007MR90k:32038
  19. [SK] SAITO (K.). — The higher residue pairings K(k)F for a family of hypersurfaces singular points, Proc. Symposia Pure Math., t. 40, 1983, p. 441-463. Zbl0565.32005MR85d:32043
  20. [Ss] STEENBRINK (J.), SCHERK (J.). — On the mixed Hodge structure on the cohomology of the Milnor fiber, Math. Ann., t. 271, 1985, p. 641-655. Zbl0618.14002MR87b:32014
  21. [V1] VARCHENKO (A.N.). — Critical values and the determinant of periods, Russian Math. Surveys, t. 44, 1989, p. 209-210. Zbl0716.32024MR90i:32013
  22. [V2] VARCHENKO (A.N.). — The Euler Beta-function, the Vandermonde determinant, Legendre's equation and critical values of linear functions on a configuration of hyperplanes, Math. USSR Isvestija, t. 35, 1990, p. 543-572; t. 36, 1991, p. 155-168. Zbl0709.33001

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.