Abstract
We show that the structure sheaf of a graded manifold is the sheaf of sections of the exterior algebra bundle of a vector bundle by reducing the problem to one in the theory of extensions of sheaves of commutative algebras to which standard cohomological techniques can be applied.
Research partially supported by NSF grant MCS 78-01332
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References
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© 1984 D. Reidel Publishing Company
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Blattner, R.J., Rawnsley, J.H. (1984). Remarks on Batchelor’s Theorem. In: Seifert, HJ., Clarke, C.J.S., Rosenblum, A. (eds) Mathematical Aspects of Superspace. NATO ASI Series, vol 132. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6446-4_7
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DOI: https://doi.org/10.1007/978-94-009-6446-4_7
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