105 citations · 107 across the 10 of their papers we have counts for
4 papers · 1 filter
Local rings of bounded Cohen-Macaulay type
Graham J. Leuschke, Roger Wiegand
Let (R,m,k) be a local Cohen-Macaulay (CM) ring of dimension one. It is known that R has finite CM type if and only if R is reduced and has bounded CM type. Here we study the one-d…
Hypersurfaces of bounded Cohen--Macaulay type
Graham J. Leuschke, Roger Wiegand
Let R = k[[x_0,...,x_d]]/(f), where k is a field and f is a non-zero non-unit of the formal power series ring k[[x_0,...,x_d]]. We investigate the question of which rings of this f…
The F-signature and strong F-regularity
Ian M. Aberbach, Graham J. Leuschke
We show that the F-signature of a local ring of characteristic p, defined by Huneke and Leuschke, is positive if and only if the ring is strongly F-regular.
Local rings of countable Cohen--Macaulay type
Craig Huneke, Graham Leuschke
We prove (the excellent case of) Schreyer's conjecture that a local ring with countable Cohen--Macaulay type has at most a one-dimensional singular locus. Furthermore we prove that…