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

Jie Wang

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

Algebraic Geometry 2010-07-09 v2

Authors: Jie Wang

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.

Keywords

deformations of pairs tangent-obstruction theory local complete intersection line bundle singular schemes extension of sections

Cite

@article{arxiv.1003.6073,
  title  = {Deformations of pairs (X,L) when X is singular},
  author = {Jie Wang},
  journal= {arXiv preprint arXiv:1003.6073},
  year   = {2010}
}

Comments

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

Related papers

View all related →