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Extremal Kähler metrics on blow-ups of parabolic ruled surfaces

Carl Tipler

2013Bulletin de la Société mathématique de FranceMathematics被引 2开放获取

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摘要

New examples of extremal Kähler 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 $\mathbb{P}(\mathcal{O}\oplus L)$ with special parabolic structures such that the associated iterated blow-up admits an extremal metric of non-constant scalar curvature.

引用本文(GB/T 7714)

Carl Tipler. Extremal Kähler metrics on blow-ups of parabolic ruled surfaces[J]. Bulletin de la Société mathématique de France, 2013.

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DOI:https://doi.org/10.24033/bsmf.2654

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