Sur l’algébrisation des tissus de codimension n de ℂ 2 n

Alain Hénaut

Annales scientifiques de l'École Normale Supérieure (1998)

  • Volume: 31, Issue: 1, page 131-143
  • ISSN: 0012-9593

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Hénaut, Alain. "Sur l’algébrisation des tissus de codimension $n$ de $\mathbb {C}^{2n}$." Annales scientifiques de l'École Normale Supérieure 31.1 (1998): 131-143. <http://eudml.org/doc/82453>.

@article{Hénaut1998,
author = {Hénaut, Alain},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {web; rank problem; algebraizability},
language = {fre},
number = {1},
pages = {131-143},
publisher = {Elsevier},
title = {Sur l’algébrisation des tissus de codimension $n$ de $\mathbb \{C\}^\{2n\}$},
url = {http://eudml.org/doc/82453},
volume = {31},
year = {1998},
}

TY - JOUR
AU - Hénaut, Alain
TI - Sur l’algébrisation des tissus de codimension $n$ de $\mathbb {C}^{2n}$
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1998
PB - Elsevier
VL - 31
IS - 1
SP - 131
EP - 143
LA - fre
KW - web; rank problem; algebraizability
UR - http://eudml.org/doc/82453
ER -

References

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  1. [B-B] W. BLASCHKE et G. BOL, Geometrie der Gewebe, Springer, Berlin, 1938. Zbl0020.06701JFM64.0727.03
  2. [B] G. BOL, Über ein bemerkenswertes Fünfgewebe in der Ebene, (Abh. Hamburg, Vol. 11, 1936, p. 387-393). Zbl0014.23005
  3. [C] S.S. CHERN, Web Geometry, (Bull. Amer. Math. Soc., Vol. 6, 1982, p. 1-8). Zbl0483.53013MR84g:53024
  4. [C-G1] S.S. CHERN et P.A. GRIFFITHS, Abel's Theorem and Webs, (Jahresber. Deutsch. Math.-Verein., Vol. 80, 1978, p. 13-110) and Corrections and Addenda to Our Paper : Abel's Theorem and Webs, (Jahresber. Deutsch. Math.-Verein., Vol. 83, 1981, p. 78-83). Zbl0474.14003MR80b:53008
  5. [C-G2] S.S. CHERN et P.A. GRIFFITHS, An Inequality for the Rank of a Web and Webs of Maximum Rank, (Ann. Scuola Norm. Sup. Pisa, Vol. 5, 1978, p. 539-557). Zbl0402.57001MR80b:53009
  6. [Go1] V.V. GOLDBERG, Tissus de codimension r et de r-rang maximum, (C. R. Acad. Sc. Paris, Vol. 297, 1983, p. 339-342). Zbl0539.53012MR85f:53020
  7. [Go2] V.V. GOLDBERG, 4-tissus isoclines exceptionnels de codimension deux et de 2-rang maximal, (C. R. Acad. Sc. Paris, Vol. 301, 1985, p. 593-596). Zbl0579.53015MR87b:53025
  8. [Go3] V.V. GOLDBERG, Isoclinic webs W(4, 2, 2) of maximum 2-rank, in Differential Geometry - Peñ;iscola 1985, (Lect. Notes Math., Vol. 1209, Springer, Berlin, 1986, p. 168-183). Zbl0607.53008MR88h:53021
  9. [Go4] V.V. GOLDBERG, Nonisoclonic 2-codimensional 4-webs of maximum 2-rank, (Proc. Amer. Math. Soc., Vol. 100, 1987, p. 701-708). Zbl0628.53018MR88i:53037
  10. [Go] V.V. GOLDBERG, Theory of Multicodimensional (n + 1)-Webs, Kluwer, Dordrecht, 1988. Zbl0668.53001MR90h:53021
  11. [G1] P.A. GRIFFITHS, Variations on a Theorem of Abel, (Invent. Math., Vol. 35, 1976, p. 321-390). Zbl0339.14003MR55 #8036
  12. [G2] P.A. GRIFFITHS, On Abel's Differential Equations, Algebraic Geometry, The Johns Hopkins Centennial Lectures, Ed. J.-I. Igusa, 1977, p. 26-51. Zbl0422.14016MR58 #655
  13. [G-H] P.A. GRIFFITHS et J. HARRIS, Principles of Algebraic Geometry, John Wiley and Sons, New York, 1978. Zbl0408.14001MR80b:14001
  14. [H1] A. HÉNAUT, Caractérisation des tissus de ℂ² dont le rang est maximal et qui sont linéarisables, (Compositio Math., Vol. 94, 1994, p. 247-268). Zbl0877.53013MR96a:32057
  15. [H2] A. HÉNAUT, Systèmes différentiels, nombre de Castelnuovo et rang des tissus de ℂn, (Publ. R.I.M.S., Kyoto Univ., Vol. 31, (1995), p. 703-720). Zbl0911.53008MR97b:32042
  16. [L] J.B. LITTLE, On Webs of Maximum Rank, (Geom. Dedicata, Vol. 31, 1989, p. 19-35). Zbl0677.53017MR90g:53023
  17. [P] H. POINCARÉ, Sur les surfaces de translation et les fonctions abéliennes, (Bull. Soc. Math., France, Vol. 29, 1901, p. 61-86.) Zbl32.0459.04JFM32.0459.04

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