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Deformations of pairs  when  is singular
Author:
Jie Wang
Journal:
Proc. Amer. Math. Soc. 140 (2012), 2953-2966
MSC (2010):
Primary 14B10, 14B12
Posted:
December 29, 2011
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Additional Information
Abstract: We give an elementary construction of the tangent obstruction theory of the deformations of the pair  with  a reduced local complete intersection scheme and  a line bundle on  . This generalizes the classical deformation theory of pairs in the case when  is smooth. A criteria for sections of  to extend is also given.
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Additional Information
Jie Wang
Affiliation:
Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210
Email:
jwang@math.ohio-state.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-2011-11230-9
PII:
S 0002-9939(2011)11230-9
Keywords:
Deformations of the pair,
tangent obstruction theory,
local complete intersection
Received by editor(s):
March 18, 2011
Posted:
December 29, 2011
Communicated by:
Lev Borisov
Article copyright:
© Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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