On the image of an algebraic projective space

Colţoiu, Mihnea; Gaşiţoi, Natalia; Joiţa, Cezar

doi:10.1016/j.crma.2012.02.002

Complex Analysis/Analytic Geometry

On the image of an algebraic projective space
[Sur lʼimage dʼun espace algébrique projectif]

Présenté par : the Editorial Board

Colţoiu, Mihnea ¹ ; Gaşiţoi, Natalia ² ; Joiţa, Cezar ¹

¹ Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest 014700, Romania
² Department of Mathematics, State University A. Russo, Str. Pushkin 38, MD-3121, Bălţi, Republic of Moldova

Comptes Rendus. Mathématique, Tome 350 (2012) no. 5-6, pp. 239-241.

Résumé
Abstract

On démontre le résultat suivant : si X est un espace algébrique projectif, Y est un espace complexe compact normal et $p : X \to Y$ une application holomorphe surjective avec fibres équidimensionnelles alors Y est aussi un espace algébrique projectif.

We prove that if X is a projective algebraic space, Y is a normal compact complex space and $p : X \to Y$ is a surjective morphism with equidimensional fibers then Y is also projective algebraic.

Reçu le : 2012-01-13
Accepté le : 2012-02-06
Publié le : 2012-02-18

DOI : 10.1016/j.crma.2012.02.002

Affiliations des auteurs :

Colţoiu, Mihnea ¹ ; Gaşiţoi, Natalia ² ; Joiţa, Cezar ¹

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Colţoiu, Mihnea; Gaşiţoi, Natalia; Joiţa, Cezar. On the image of an algebraic projective space. Comptes Rendus. Mathématique, Tome 350 (2012) no. 5-6, pp. 239-241. doi : 10.1016/j.crma.2012.02.002. http://www.numdam.org/articles/10.1016/j.crma.2012.02.002/

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Cité par

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Cité par Sources :

^☆ The first and third named authors were supported by CNCS grant PN-II-ID-PCE-2011-3-0269.