Comptes Rendus
no. 5-6
Complex Analysis/Analytic Geometry
On the image of an algebraic projective space

Presented by: the Editorial Board

Mihnea Colţoiu1; Natalia Gaşiţoi2; Cezar Joiţa1
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, Volume 350 (2012) no. 5-6, pp. 239-241.

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

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

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2012.02.002

Mihnea Colţoiu 1; Natalia Gaşiţoi 2; Cezar Joiţa 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 
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Mihnea Colţoiu; Natalia Gaşiţoi; Cezar Joiţa. On the image of an algebraic projective space. Comptes Rendus. Mathématique, Volume 350 (2012) no. 5-6, pp. 239-241. doi : 10.1016/j.crma.2012.02.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.02.002/

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

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