Projective embedding of degenerating family of K\"ahler-Einstein manifolds with normal crossing limit

Jingzhou Sun

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arXiv · 2609.03845

Projective embedding of degenerating family of K\"ahler-Einstein manifolds with normal crossing limit

Jingzhou Sun

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Abstract

We study the Bergman embeddings of degenerating families of K\"{a}hler-Einstein manifolds of negative curvature. We show that when the central fiber has only simple normal crossing singularities, we can construct orthonormal bases so that the induced Bergman embeddings converge to the Bergman embedding of the limit space together with multi-bubbles.

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Jingzhou Sun. 2026-09-03. Projective embedding of degenerating family of K\"ahler-Einstein manifolds with normal crossing limit. https://arxiv.org/abs/2609.03845

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