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arxiv: 0906.1657 · v1 · submitted 2009-06-09 · 🧮 math.DG · math.AG

Blowing-up points on l.c. K. manifolds

classification 🧮 math.DG math.AG
keywords resulttypeahleralgebraicargumentblow-upblowing-upcite
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It is a classical result, due to F. Tricceri, that the blow-up of a manifold of locally conformally K\"ahler (l.c.K. for short) type at some point is again of l.c.K. type. However, the proof given in \cite{Tric} is somehow unclear. We give a different argument to prove the result, using "standard tricks" in algebraic geometry

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