Geodesic
Infinite-dimensional complex projective spaces and complete intersections
Mathematica Bohemica, Tome 131 (2006) no. 4, pp. 419-425.

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Let $V$ be an infinite-dimensional complex Banach space and $X \subset {\mathbf {P}}(V)$ a closed analytic subset with finite codimension. We give a condition on $X$ which implies that $X$ is a complete intersection. We conjecture that the result should be true for more general topological vector spaces.
DOI : 10.21136/MB.2006.133969
Classification : 32K05, 58B20
Keywords: infinite-dimensional complex projective space; infinite-dimensional complex manifold; complete intersection; complex Banach space; complex Banach manifold 
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Ballico, E. Infinite-dimensional complex projective spaces and complete intersections. Mathematica Bohemica, Tome 131 (2006) no. 4, pp. 419-425. doi : 10.21136/MB.2006.133969. http://geodesic.mathdoc.fr/articles/10.21136/MB.2006.133969/

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