On the removable singularities for meromorphic mappings.

Evgeny M. Chirka

Publicacions Matemàtiques (1996)

  • Volume: 40, Issue: 1, page 229-232
  • ISSN: 0214-1493

Abstract

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If E is a closed subset of locally finite Hausdorff (2n-2)-measure on an n-dimensional complex manifold Ω and all the points of E are nonremovable for a meromorphic mapping of Ω E into a compact Kähler manifold, then E is a pure (n-1)-dimensional complex analytic subset of Ω.

How to cite

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Chirka, Evgeny M.. "On the removable singularities for meromorphic mappings.." Publicacions Matemàtiques 40.1 (1996): 229-232. <http://eudml.org/doc/41242>.

@article{Chirka1996,
abstract = {If E is a closed subset of locally finite Hausdorff (2n-2)-measure on an n-dimensional complex manifold Ω and all the points of E are nonremovable for a meromorphic mapping of Ω E into a compact Kähler manifold, then E is a pure (n-1)-dimensional complex analytic subset of Ω.},
author = {Chirka, Evgeny M.},
journal = {Publicacions Matemàtiques},
keywords = {Función meromorfa; Variedades complejas; Distancia de Hausdorff; Variable compleja; Hausdorff measure; compact Kähler manifold; meromorphic extension property},
language = {eng},
number = {1},
pages = {229-232},
title = {On the removable singularities for meromorphic mappings.},
url = {http://eudml.org/doc/41242},
volume = {40},
year = {1996},
}

TY - JOUR
AU - Chirka, Evgeny M.
TI - On the removable singularities for meromorphic mappings.
JO - Publicacions Matemàtiques
PY - 1996
VL - 40
IS - 1
SP - 229
EP - 232
AB - If E is a closed subset of locally finite Hausdorff (2n-2)-measure on an n-dimensional complex manifold Ω and all the points of E are nonremovable for a meromorphic mapping of Ω E into a compact Kähler manifold, then E is a pure (n-1)-dimensional complex analytic subset of Ω.
LA - eng
KW - Función meromorfa; Variedades complejas; Distancia de Hausdorff; Variable compleja; Hausdorff measure; compact Kähler manifold; meromorphic extension property
UR - http://eudml.org/doc/41242
ER -

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