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

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

2010-03-31

arxiv.org/abs/1003.6073v2

Mathematics

Algebraic Geometry

12 pages, section 4 rewritten due to a gap in one of the reference

Scientific paper

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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