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On the K\"ahler classes of constant scalar curvature metrics on blow ups

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arxiv 0706.1838 v1 pith:JFMMWBJO submitted 2007-06-13 math.DG

On the K\"ahler classes of constant scalar curvature metrics on blow ups

classification math.DG
keywords kaehlerblownclassesconstantcurvaturemetricspointsscalar
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In this note we clarify the structure of the moduli space of constant scalar curvature Kaehler metrics as one approaches the boundary of the Kaehler cone on cscK manifolds blown up at finite set of points, in the spirit of the previous work arXiv:math/0504115. Results about which Kaehler classes can be reached and about the position of the blown up points are given.

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