Higher asymptotics of the complex Monge-Ampère equation

C. Robin Graham

Compositio Mathematica (1987)

  • Volume: 64, Issue: 2, page 133-155
  • ISSN: 0010-437X

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Robin Graham, C.. "Higher asymptotics of the complex Monge-Ampère equation." Compositio Mathematica 64.2 (1987): 133-155. <http://eudml.org/doc/89872>.

@article{RobinGraham1987,
author = {Robin Graham, C.},
journal = {Compositio Mathematica},
keywords = {strongly pseudoconex boundaries; complex Monge-Ampere equation; biholomorphic invariants},
language = {eng},
number = {2},
pages = {133-155},
publisher = {Martinus Nijhoff Publishers},
title = {Higher asymptotics of the complex Monge-Ampère equation},
url = {http://eudml.org/doc/89872},
volume = {64},
year = {1987},
}

TY - JOUR
AU - Robin Graham, C.
TI - Higher asymptotics of the complex Monge-Ampère equation
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 64
IS - 2
SP - 133
EP - 155
LA - eng
KW - strongly pseudoconex boundaries; complex Monge-Ampere equation; biholomorphic invariants
UR - http://eudml.org/doc/89872
ER -

References

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  1. 1 J. Bland, Local boundary behaviour of the canonical Einstein-Kähler metric on pseudo-convex domains, UCLA PhD. thesis, 1982. 
  2. 2 S.-Y. Cheng and S.-T. Yau, On the existence of a complete Kähler metric on noncompact complex manifolds and the regularity of Fefferman's equation, Comm. Pure Appl. Math33 (1980) 507-544. Zbl0506.53031MR575736
  3. 3 S.S. Chern and J. Moser, Real hypersurfaces in complex manifolds, Acta Math.133 (1974) 219-271. Zbl0302.32015MR425155
  4. 4 C. Fefferman, Monge-Ampère equations, the Bergman kernel, and geometry of pseudo-convex domains, Ann. Math.103 (1976) 395-416. Zbl0322.32012MR407320
  5. 5 C. Fefferman, Parabolic invariant theory in complex analysis, Adv. in Math.31 (1979) 131-262. Zbl0444.32013MR526424
  6. 6 R. Graham, Scalar boundary invariants and the Bergman kernel, Proceedings of the Special Year in Complex Analysis, Univ. of Maryland, to appear. Zbl0626.32027
  7. 7 J. Lee, Higher asymptotics of the complex Monge-Ampère equation and geometry of CR-manifolds, MIT PhD. thesis, 1982. 
  8. 8 J. Lee and R. Melrose, Boundary behaviour of the complex Monge-Ampère equation, Acta. Math.148 (1982) 159-192. Zbl0496.35042MR666109
  9. 9 R. Melrose, Transformation of boundary problems, Acta. Math.147 (1981) 149-236. Zbl0492.58023MR639039

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