Abstract
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.
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