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arXiv · 1003.6073

Deformations of pairs (X,L) when X is singular

Jie Wang
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Abstract

We give an elementary construction of the tangent-obstruction theory of the deformations of the pair $(X,L)$ with $X$ a reduced local complete intersection scheme and $L$ a line bundle on $X$. This generalizes the classical deformation theory of pairs in case $X$ is smooth. A criteria for sections of $L$ to extend is also given.

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Jie Wang. 2010-03-31. Deformations of pairs (X,L) when X is singular. https://arxiv.org/abs/1003.6073

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