Moduli of commutative and non-commutative finite covers

M. Schaps

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We classify affine, not necessarily commutative, n-covers B of commutative K-algebras A using data triples (A, M, α) consisting of the algebra A, a free A-module M of rank n - 1, and an associative, unitary trace-zero structure constant tensor α. We construct a versal deformation space for the deformations of a K-algebra B 0 as a section of the completion at the tensor α 0 of B 0 of the structure-constant scheme C n . In order to obtain concrete information about the algebraic structure of C n obtained as above.

Original languageEnglish
Pages (from-to)67-102
Number of pages36
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - Feb 1987


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