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

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

2009-06-09

arxiv.org/abs/0906.1657v1

Mathematics

Differential Geometry

To Professor S.Ianu\c{s} on the occasion of his 70th birthday

Scientific paper

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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