Extremal K\"ahler metrics on blow-ups of parabolic ruled surfaces
Abstract
New examples of extremal K\"ahler metrics on blow-ups of parabolic ruled surfaces are constructed. The method is based on the gluing construction of Arezzo, Pacard and Singer. This enables to endow ruled surfaces of the form P(O L) with special parabolic structures such that the associated iterated blow-up admits an extremal metric of non-constant scalar curvature.
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