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

2009/06/09 by Vuletescu, Victor
#53C55 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0906.1657

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 \citeTric is somehow unclear. We give a different argument to prove the result, using "standard tricks" in algebraic geometry

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