Les équations de Monge-Ampère homogènes, et des exhaustions spéciales de variétés affines

D. Burns

Séminaire Équations aux dérivées partielles (Polytechnique) (1983-1984)

  • page 1-9

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Burns, D.. "Les équations de Monge-Ampère homogènes, et des exhaustions spéciales de variétés affines." Séminaire Équations aux dérivées partielles (Polytechnique) (1983-1984): 1-9. <http://eudml.org/doc/111856>.

@article{Burns1983-1984,
author = {Burns, D.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {homogeneous complex Monge-Ampère equation; generic affine algebraic variety; strictly plurisubharmonic exhaustion},
language = {fre},
pages = {1-9},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Les équations de Monge-Ampère homogènes, et des exhaustions spéciales de variétés affines},
url = {http://eudml.org/doc/111856},
year = {1983-1984},
}

TY - JOUR
AU - Burns, D.
TI - Les équations de Monge-Ampère homogènes, et des exhaustions spéciales de variétés affines
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1983-1984
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 9
LA - fre
KW - homogeneous complex Monge-Ampère equation; generic affine algebraic variety; strictly plurisubharmonic exhaustion
UR - http://eudml.org/doc/111856
ER -

References

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  1. [1] E. Bedford: Stability of envelopes of holomorphy and the degenerate Monge-Ampère équation, Math. Ann.259 (1982), 1-28. Zbl0492.32013MR656649
  2. [2] E. Bedford, J.E. Fornaess: Counterexamples to regularity for the complex Monge-Ampère équation, Inv. Math.50 (1979), 129-134. Zbl0393.35010MR517774
  3. [3] E. Bedford, B.A. Taylor: The Dirichlet problem for a complex Monge-Ampère equation, Inv. Math.37 (1976), 1-44. Zbl0315.31007MR445006
  4. [4] E. Bedford, B.A. Taylor: A new capacity for plurisubharmonic functions, Acta Math.149 (1982), 1-40. Zbl0547.32012MR674165
  5. [5] D. Burns: Curvatures of Monge-Ampère foliations and parabolic manifolds, Ann. Math.115 (1982), 349-373. Zbl0507.32011MR647810
  6. [6] D. Burns: Parabolic exhaustions and the algebraicization of certain Stein manifolds, à paraître. 
  7. [7] M. Cornalba, P. Griffiths: Analytic cycles and vector bundles on non-compact algebraic varieties, Inv. Math.28 (1975), 1-108. Zbl0293.32026MR367263
  8. [8] L. Lempert: La métrique de Kobayashi et la représentation des domaines sur la boule, Bull. S.M.F., 109 (1981) 427-474. Zbl0492.32025MR660145
  9. [9] L. Lempert: Solving the degenerate complex Monge-Ampère equation with one concentrated singularity, Math. Ann.263 (1983) 515-532. Zbl0531.35020MR707246
  10. [10] R. Moriyon: Regularity of the Dirichlet problem for the complex Monge-Ampère equation, C.P.A.M.35 (1982), 1-28. Zbl0474.35027MR637493
  11. [11] W. Stoll: The characterization of strictly parabolic manifolds, Ann. E.N.S.Pisa, IV, VII (1980), 87-154. Zbl0438.32005MR577327

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