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Title
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Obstruction theory for objects in abelian and derived categories
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Author
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Abstract
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| Abstract In this article, we develop the obstruction theory for lifting complexes, up to quasi-isomorphism, to derived categories of flat nilpotent deformations of abelian categories. As a particular case we also obtain the corresponding obstruction theory for lifting of objects in terms of Yoneda Ext-groups. In an appendix we prove the existence of miniversal derived deformations of complexes. |
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Language
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English
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Source (journal)
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Communications in algebra. - New York, N.Y.
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Publication
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New York, N.Y.
:
2005
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ISSN
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0092-7872
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DOI
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10.1081/AGB-200066155
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Volume/pages
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33
:9
(2005)
, p. 3195-3223
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ISI
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000232474400021
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Full text (Publisher's DOI)
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