Deformations of pairs $(X,L)$ when $X$ is singular
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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 the case when $X$ is smooth. A criteria for sections of $L$ to extend is also given.References
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Additional Information
- Jie Wang
- Affiliation: Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210
- MR Author ID: 1084440
- Email: jwang@math.ohio-state.edu
- Received by editor(s): March 18, 2011
- Published electronically: December 29, 2011
- Communicated by: Lev Borisov
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 2953-2966
- MSC (2010): Primary 14B10, 14B12
- DOI: https://doi.org/10.1090/S0002-9939-2011-11230-9
- MathSciNet review: 2917069