An obstruction to smoothing stable maps

Fatemeh Rezaee, Mohan Swaminathan
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Abstract

We describe an obstruction to smoothing stable maps in smooth projective varieties, which generalizes some previously known obstructions. Our obstruction comes from the non-existence of certain rational functions on the ghost components, with prescribed simple poles and residues.
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平滑稳定地图的障碍
我们描述了平滑射影变量中平滑稳定映射的一个障碍,它概括了以前已知的一些障碍。这一障碍来自于鬼分量上不存在某些具有规定简单极点和残差的有理函数。
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