A note on characterization of Moishezon spaces.

K. Rama

Publicacions Matemàtiques (1990)

  • Volume: 34, Issue: 2, page 273-275
  • ISSN: 0214-1493

Abstract

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In this note a necessary and sufficient condition for a compact complex space X to be Moishezon is obtained; it can be seen as the existence of a line bundle L on X such that, for some point x ∈ X, the first cohomology groups of X with values respectively in L ⊗ mx and L ⊗ mx2, vanish. (Here mx denotes the ideal sheaf at x).

How to cite

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Rama, K.. "A note on characterization of Moishezon spaces.." Publicacions Matemàtiques 34.2 (1990): 273-275. <http://eudml.org/doc/41133>.

@article{Rama1990,
abstract = {In this note a necessary and sufficient condition for a compact complex space X to be Moishezon is obtained; it can be seen as the existence of a line bundle L on X such that, for some point x ∈ X, the first cohomology groups of X with values respectively in L ⊗ mx and L ⊗ mx2, vanish. (Here mx denotes the ideal sheaf at x).},
author = {Rama, K.},
journal = {Publicacions Matemàtiques},
keywords = {Análisis; Moishezon space},
language = {eng},
number = {2},
pages = {273-275},
title = {A note on characterization of Moishezon spaces.},
url = {http://eudml.org/doc/41133},
volume = {34},
year = {1990},
}

TY - JOUR
AU - Rama, K.
TI - A note on characterization of Moishezon spaces.
JO - Publicacions Matemàtiques
PY - 1990
VL - 34
IS - 2
SP - 273
EP - 275
AB - In this note a necessary and sufficient condition for a compact complex space X to be Moishezon is obtained; it can be seen as the existence of a line bundle L on X such that, for some point x ∈ X, the first cohomology groups of X with values respectively in L ⊗ mx and L ⊗ mx2, vanish. (Here mx denotes the ideal sheaf at x).
LA - eng
KW - Análisis; Moishezon space
UR - http://eudml.org/doc/41133
ER -

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