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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On holomorphic graded manifolds


Author: Paul Green
Journal: Proc. Amer. Math. Soc. 85 (1982), 587-590
MSC: Primary 32C10; Secondary 58A99
MathSciNet review: 660609
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Abstract: Kostant's definition of a $ {C^\infty }$-graded manifold is adapted to the holomorphic category. It is shown that, in contrast to the $ {C^\infty }$ case, there exist holomorphic graded manifolds with structure sheaf not isomorphic to the sheaf of sections of a bundle of exterior algebras.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0660609-6
PII: S 0002-9939(1982)0660609-6
Article copyright: © Copyright 1982 American Mathematical Society