On a complex equiaffine immersion of general codimension
On a complex equiaffine immersion of general codimension
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关于一般余维的复等仿射浸入
DOI：
10.55937/sut/1078824718
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发表时间：
2003
影响因子：
--
通讯作者：
Sanae Kurosu
中科院分区：
文献类型：
--
作者：
Sanae Kurosu
。我们通过将复向量丛的复行列式丛的框架视为复体积形式来研究一般余维数的复马浸入。具有体积形式的复杂仿射超曲面，特别是复杂仿射超曲面的一些结果被推广到一般余维的情况。特别是，我们获得了复杂等维线浸入到一般余维的复杂仿射空间的基本定理。
. We study a complex equiaffine immersion of general codimension by regarding a frame of the complex determinant bundle of a complex vector bundle as a complex volume form. Some results on a complex affine hypersurface with volume form, especially a complex equiaffine hypersurface, are generalized to the case of general codimension. Especially, we obtain the fundamental theorems for a complex equiaffine immersion to a complex affine space of general codimension.