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Quotient de la variété des points infiniment voisins d’ordre 9 sous l’action de PGL 3

Abdelghani El Mazouni

Bulletin de la Société Mathématique de France (1996)

  • Volume: 124, Issue: 3, page 425-455
  • ISSN: 0037-9484

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El Mazouni, Abdelghani. "Quotient de la variété des points infiniment voisins d’ordre 9 sous l’action de $\text{PGL}_3$." Bulletin de la Société Mathématique de France 124.3 (1996): 425-455. <http://eudml.org/doc/87745>.

@article{ElMazouni1996,
author = {El Mazouni, Abdelghani},
journal = {Bulletin de la Société Mathématique de France},
keywords = {infinitely near points; algebraic group actions; field of invariant rational functions; rationality of moduli spaces of pointed plane curves},
language = {fre},
number = {3},
pages = {425-455},
publisher = {Société mathématique de France},
title = {Quotient de la variété des points infiniment voisins d’ordre 9 sous l’action de $\text\{PGL\}_3$},
url = {http://eudml.org/doc/87745},
volume = {124},
year = {1996},
}

TY - JOUR
AU - El Mazouni, Abdelghani
TI - Quotient de la variété des points infiniment voisins d’ordre 9 sous l’action de $\text{PGL}_3$
JO - Bulletin de la Société Mathématique de France
PY - 1996
PB - Société mathématique de France
VL - 124
IS - 3
SP - 425
EP - 455
LA - fre
KW - infinitely near points; algebraic group actions; field of invariant rational functions; rationality of moduli spaces of pointed plane curves
UR - http://eudml.org/doc/87745
ER -

References

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  1. [1] BARTH (W.), PETERS (C.) and VAN DE VEN (A.). — Compact complex surfaces, Ergebnisse..., série 3, n° 4, Springer, 1984. Zbl0718.14023MR86c:32026
  2. [2] BELGHITI (M.). — Variété des points infiniment voisins d'ordre n des points du plan, C.R. Acad. Sci. Paris, t. 314, série I, 1992, p. 541-545. Zbl0815.14002MR93a:14046
  3. [3] COLLEY (S.) and KENNEDY (G.). — Triple and quadruple contact of plane curves, in Enumerative algebraic geometry, Kleiman and Thorup eds, p. 31-60, Contemporary mathematics 123, Amer. Math. Soc., 1991. Zbl0760.14022MR93c:14042
  4. [4] DEMAZURE (M.). — A, B, C, D, E, F, etc. Séminaire sur les singularités de surfaces, Lectures Notes Math. 777, Springer, Heidelberg, 1980. Zbl0431.15020MR82d:14021
  5. [5] DOLGACHEV (I.). — Rationality of fields of invariants, Proc. Sympos. Pure Math., t. 46, 1987, p. 3-16. Zbl0659.14009MR89b:14064
  6. [6] NARASIMHAN (D.). — Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques, Inventiones Math., t. 97, 1987, p. 54-94. Zbl0689.14012
  7. [7] GRUSON (L.). — Un aperçu des travaux mathématiques de G.H. Halphen, in Complex projective geometry, Ellingsrud et al. eds, p. 189-198, Lecture notes series 179, Cambridge University Press, 1992. Zbl0871.01020MR94b:14002
  8. [8] HALPHEN (G.H.). — Sur les invariants différentiels, 1878, in Œuvres complètes de G.H. Halphen, tome II, Gautiers-Villars, 1918. 
  9. [9] LOOIJENGA (E.). — Cohomology of M3 and M13, in Mapping class groups and moduli spaces of Riemann surfaces, Contemporary Mathematics 150, Amer. Math. Soc., 1993, p. 205-228. Zbl0814.14029MR94i:14032
  10. [10] MUMFORD (D.). — Curves and their Jacobians. — Univ. of Michigan Press, Ann Arbor, 1975. Zbl0316.14010MR54 #7451
  11. [11] MUMFORD (D.) and FOGARTY (F.). — Geometric invariant theory (second edition). — Ergebnisse..., n° 34, Springer, 1982. Zbl0504.14008

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