论文标题

在嵌入式复杂托里的社区

On neighborhoods of embedded complex tori

论文作者

Gong, Xianghong, Stolovitch, Laurent

论文摘要

本文的目的是表明,嵌入在尺寸n+d的复杂歧管中的n维复合物圆环(带有分裂切线束)具有邻居Biholomormormormormormormormormormormormormormorphic在其正常束中的零部分,前提是后者具有(局部恒定)的遗传学过渡功能,并满足非抗抑制剂的情况。

The goal of the article is to show that an n-dimensional complex torus embedded in a complex manifold of dimensional n+d, with a split tangent bundle, has neighborhood biholomorphic a neighborhood of the zero section in its normal bundle, provided the latter has (locally constant) Hermitian transition functions and satisfies a non-resonant Diophantine condition.

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