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math.AC2005
Power series rings and projectivity
R. -O. Buchweitz, H. Flenner
We show that a formal power series ring over a noetherian ring is not a projective module unless is artinian. However, if is local, then $A[[X]…
math.AG2005
Linear free divisors and quiver representations
Ragnar-Olaf Buchweitz, David Mond
Linear free divisors are free divisors, in the sense of K.Saito, with linear presentation matrix (example: normal crossing divisors). Using techniques of deformation theory on repr…
math.AC2005
Factoring the Adjoint and Maximal Cohen--Macaulay Modules over the Generic Determinant
Ragnar-Olaf Buchweitz, Graham J. Leuschke
A question of Bergman asks whether the adjoint of the generic square matrix over a field can be factored nontrivially as a product of square matrices. We show that such factorizati…