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

Abstract

It is a classical result, due to F. Tricceri, that the blow-up of a manifold of locally conformally Kähler (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

To Professor S.Ianuş on the occasion of his 70th birthday

References in corpus (1)

• Topology of locally conformally Kahler manifolds with potential

Cited by in corpus (3)

• Locally conformally Kähler structures on four-dimensional solvable Lie algebras
• Balanced metrics and Gauduchon cone of locally conformally Kahler manifolds
• Do products of compact complex manifolds admit LCK metrics?