Convergence in capacity on smooth hypersurfaces of compact Kähler manifolds

Vu Viet Hung; Hoang Nhat Quy

Annales Polonici Mathematici (2012)

  • Volume: 103, Issue: 2, page 175-187
  • ISSN: 0066-2216

Abstract

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We study restrictions of ω-plurisubharmonic functions to a smooth hypersurface S in a compact Kähler manifold X. The result obtained and the characterization of convergence in capacity due to S. Dinew and P. H. Hiep [to appear in Ann. Scuola Norm. Sup. Pisa Cl. Sci.] are used to study convergence in capacity on S.

How to cite

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Vu Viet Hung, and Hoang Nhat Quy. "Convergence in capacity on smooth hypersurfaces of compact Kähler manifolds." Annales Polonici Mathematici 103.2 (2012): 175-187. <http://eudml.org/doc/280404>.

@article{VuVietHung2012,
abstract = {We study restrictions of ω-plurisubharmonic functions to a smooth hypersurface S in a compact Kähler manifold X. The result obtained and the characterization of convergence in capacity due to S. Dinew and P. H. Hiep [to appear in Ann. Scuola Norm. Sup. Pisa Cl. Sci.] are used to study convergence in capacity on S.},
author = {Vu Viet Hung, Hoang Nhat Quy},
journal = {Annales Polonici Mathematici},
keywords = {complex Monge-Ampère operator; -plurisubharmonic functions; compact Kähler manifolds; capacities},
language = {eng},
number = {2},
pages = {175-187},
title = {Convergence in capacity on smooth hypersurfaces of compact Kähler manifolds},
url = {http://eudml.org/doc/280404},
volume = {103},
year = {2012},
}

TY - JOUR
AU - Vu Viet Hung
AU - Hoang Nhat Quy
TI - Convergence in capacity on smooth hypersurfaces of compact Kähler manifolds
JO - Annales Polonici Mathematici
PY - 2012
VL - 103
IS - 2
SP - 175
EP - 187
AB - We study restrictions of ω-plurisubharmonic functions to a smooth hypersurface S in a compact Kähler manifold X. The result obtained and the characterization of convergence in capacity due to S. Dinew and P. H. Hiep [to appear in Ann. Scuola Norm. Sup. Pisa Cl. Sci.] are used to study convergence in capacity on S.
LA - eng
KW - complex Monge-Ampère operator; -plurisubharmonic functions; compact Kähler manifolds; capacities
UR - http://eudml.org/doc/280404
ER -

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