… Gorenstein rings of small codimension In this section R denotes a Gorenstein ring of
codimension … Over such rings, the Poincaré series of all finite R-modules are rational and share a …

… Cohen–Macaulay rings and Gorenstein rings have important … kinds of rings are defined for
studying a new class of local or graded rings which are Cohen–Macaulay but not Gorenstein. …

… resolution of a codimension 4 Gorenstein ring by analogy with (1.2). The first syzygy … smaller
strata of SpHk, where SpHk is singular. Thus to cover every codimension 4 Gorenstein ring, I …

… in codimension one over some Gorenstein ring B. Among other things these results give
a rather convincing negative answer to the second question posed at the outset of Section 2. …

… We show that if the ring Γ (V ,OV ) is Gorenstein, then R/p is … criterion for vector bundles of
small rank on projective spaces … of small rank on punctured spectrum of regular local rings. …

… has the smallest possible codimension c for an AG ring with non-… for AG rings; it is easy to
show that an AG ring with non-… In codimension c = 3 it is conjectured that all AG rings have WLP…

… free resolutions of Gorenstein ideals of codimension 4 is not … Gorenstein ring SI, where S
is the polynomial ring in rs variables xij, 1 ≤ i ≤ r, 1 ≤ j ≤ s, over a field K and I is a Gorenstein …

… a CohenMacaulay factor ring of a regular local ring is Gorenstein ((221, … Gorenstein ring R
which is a factor ring of a regular local ring and a complete intersection locally in codimension …

… the classification of Gorenstein ideals of codimension 4 with up … Gorenstein ideals of
codimension 4 which we conjecture will be generic, ie every other Gorenstein ideal of codimension …

… For R a regular local ring smallness just amounts to ZC m2. Should this condition fail, we …
rings in the class .dY; hence we shall see that it also holds for Gorenstein rings of codimension …