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MATHEMATICA BOHEMICA, Vol. 131, No. 4, pp. 419-425 (2006)
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Infinite-dimensional complex projective spaces and complete intersections

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E. Ballico

* E. Ballico*, Dept. of Mathematics, University of Trento, 38050 Povo (TN), Italy, e-mail: ` ballico@science.unitn.it`

**Abstract:** Let $V$ be an infinite-dimensional complex Banach space and $X \subset {\bf {P}}(V)$ 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.

**Keywords:** infinite-dimensional complex projective space, infinite-dimensional complex manifold, complete intersection, complex Banach space, complex Banach manifold

**Classification (MSC2000):** 32K05

**Full text of the article:**

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