PreprintarXiv licencearXiv
Projective embedding of degenerating family of Kähler-Einstein manifolds with normal crossing limit
Abstract
We study the Bergman embeddings of degenerating families of Kähler-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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BibTeX
@misc{sun2026projective,
title = {{Projective embedding of degenerating family of Kähler-Einstein manifolds with normal crossing limit}},
author = {Jingzhou Sun},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03845},
eprint = {2609.03845},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03845},
}
RIS
TY - UNPB
TI - Projective embedding of degenerating family of Kähler-Einstein manifolds with normal crossing limit
AU - Jingzhou Sun
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.03845
UR - https://arxiv.org/abs/2609.03845
AB - We study the Bergman embeddings of degenerating families of Kähler-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.
ER -