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arXiv · 1907.09780

Toward a construction of scalar-flat K\"{a}hler metrics on affine algebraic manifolds

Takahiro Aoi
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Abstract

Let $(X,L_{X})$ be an $n$-dimensional polarized manifold. Let $D$ be a smooth hypersurface defined by a holomorphic section of $L_{X}$. In this paper, we study the existence of a complete scalar-flat K\"{a}hler metric on $X \setminus D$ on the assumption that $D$ has a constant positive scalar curvature K\"{a}hler metric.

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Takahiro Aoi. 2019-07-23. Toward a construction of scalar-flat K\"{a}hler metrics on affine algebraic manifolds. https://doi.org/10.1007/s00209-020-02684-5

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