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Deformations of schemes and other bialgebraic structures
Author(s):
J.
P.
Pridham
Journal:
Trans. Amer. Math. Soc.
360
(2008),
1601-1629.
MSC (2000):
Primary 14B12, 14D15, 13D10
Posted:
July 23, 2007
MathSciNet review:
2357707
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Abstract:
There has long been a philosophy that every deformation problem in characteristic zero should be governed by a differential graded Lie algebra (DGLA). In this paper, we show how to construct a Simplicial Deformation Complex (SDC) governing any bialgebraic deformation problem. Examples of such problems are deformations of a Hopf algebra, or of an arbitrary scheme. In characteristic zero, SDCs and DGLAs are shown to be equivalent.
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Additional Information:
J.
P.
Pridham
Affiliation:
Trinity College, Cambridge, CB2 1TQ, United Kingdom
Email:
J.P.Pridham@dpmms.cam.ac.uk
DOI:
10.1090/S0002-9947-07-04355-3
PII:
S 0002-9947(07)04355-3
Received by editor(s):
October 31, 2005
Received by editor(s) in revised form:
April 25, 2006
Posted:
July 23, 2007
Additional Notes:
The author was supported during this research by Trinity College, Cambridge and by the Isle of Man Department of Education
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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