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Added the 'kahler-manifolds' tag.
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edit approved Nov 12, 2014 at 5:23
Michael Albanese
edit approved Nov 12, 2014 at 5:23
Michael Albanese
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added 2 characters in body; edited title
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Francesco Polizzi
Francesco Polizzi
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Non KahlerKähler blow-up of a KahlerKähler manifold

isIs it possible to find a complete, non compact Kahler manifold $(X,\omega)$ with a closed, conectedconnected, non compact complex submanifold $Y\subset X$ of codimension at least 2 such that the blow-up of $X$ along $Y$ it is is not KahlerKähler?

Non Kahler blow-up of a Kahler manifold

is it possible to find a complete non compact Kahler manifold $(X,\omega)$ with a closed, conected, non compact complex submanifold $Y\subset X$ of codimension at least 2 such that the blow-up of $X$ along $Y$ it is not Kahler?

Non Kähler blow-up of a Kähler manifold

Is it possible to find a complete, non compact Kahler manifold $(X,\omega)$ with a closed, connected, non compact complex submanifold $Y\subset X$ of codimension at least 2 such that the blow-up of $X$ along $Y$ is not Kähler?

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Italo
Italo
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Non Kahler blow-up of a Kahler manifold

is it possible to find a complete non compact Kahler manifold $(X,\omega)$ with a closed, conected, non compact complex submanifold $Y\subset X$ of codimension at least 2 such that the blow-up of $X$ along $Y$ it is not Kahler?