In this paper we prove two main results. Theorem I: Let X be a 1-convex manifold with 1-dimensional exceptional set S. Then X is Kähler if and only if S does not contain any effective curve which is a boundary. Theorem II: Let X be a 1-convex manifold with 1-dimensional exceptional set S. If H2(X,Z) is finitely generated, then X is embeddable if and only if it is Kähler.
On the embedding of 1-convex manifolds with 1-dimensional exceptional set / Alessandrini, Lucia; Bassanelli, Giovanni. - In: ANNALES DE L'INSTITUT FOURIER. - ISSN 0373-0956. - 51:(2001), pp. 99-108. [10.5802/aif.1817]
On the embedding of 1-convex manifolds with 1-dimensional exceptional set
ALESSANDRINI, Lucia;BASSANELLI, Giovanni
2001-01-01
Abstract
In this paper we prove two main results. Theorem I: Let X be a 1-convex manifold with 1-dimensional exceptional set S. Then X is Kähler if and only if S does not contain any effective curve which is a boundary. Theorem II: Let X be a 1-convex manifold with 1-dimensional exceptional set S. If H2(X,Z) is finitely generated, then X is embeddable if and only if it is Kähler.File in questo prodotto:
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