On démontre le résultat suivant : si X est un espace algébrique projectif, Y est un espace complexe compact normal et 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 is a surjective morphism with equidimensional fibers then Y is also projective algebraic.
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@article{CRMATH_2012__350_5-6_239_0, author = {Col\c{t}oiu, Mihnea and Ga\c{s}i\c{t}oi, Natalia and Joi\c{t}a, Cezar}, title = {On the image of an algebraic projective space}, journal = {Comptes Rendus. Math\'ematique}, pages = {239--241}, publisher = {Elsevier}, volume = {350}, number = {5-6}, year = {2012}, doi = {10.1016/j.crma.2012.02.002}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2012.02.002/} }
TY - JOUR AU - Colţoiu, Mihnea AU - Gaşiţoi, Natalia AU - Joiţa, Cezar TI - On the image of an algebraic projective space JO - Comptes Rendus. Mathématique PY - 2012 SP - 239 EP - 241 VL - 350 IS - 5-6 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2012.02.002/ DO - 10.1016/j.crma.2012.02.002 LA - en ID - CRMATH_2012__350_5-6_239_0 ER -
%0 Journal Article %A Colţoiu, Mihnea %A Gaşiţoi, Natalia %A Joiţa, Cezar %T On the image of an algebraic projective space %J Comptes Rendus. Mathématique %D 2012 %P 239-241 %V 350 %N 5-6 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2012.02.002/ %R 10.1016/j.crma.2012.02.002 %G en %F CRMATH_2012__350_5-6_239_0
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://archive.numdam.org/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.