On the Non-Splitting of the Normal Bundle Sequence |
| |
Authors: | Serge Lvovski |
| |
Institution: | 1. Department of Mathematics, Higher School of Economics , Moscow, Russia serge@mccme.ru |
| |
Abstract: | In a recent article, Paltin Ionescu and Flavia Repetto proved that if X ? ? n is a smooth projective variety over ? such that its normal bundle sequence splits over some curve C ? X, then X a linear subspace in ? n . In this note, we give a purely geometric proof of this result that is valid in arbitrary characteristic. |
| |
Keywords: | Gauss map Normal bundle Projective variety |
|
|