… that resolution of singularities of projective varieties of … singularities is known for excellent
reduced schemes in dimension ≤ 3 and local uniformization is known for excellent local rings …

… To analyze the arising singularities, we attach to them an abelian hereditary k-linear …
This link to singularity theory is exploited in the present paper. For an alternative categorybased …

… threefold with only terminal singularities, where R and R ′ are complete local rings with an
isolated singularity. If the derived contraction algebras are quasi-isomorphic, then R ≅ R ′ . …

… Given a locally coherent Grothendieck category G, we prove that the homotopy category
of … One can quickly verify that R is a perfect non-coherent local ring, where m is the unique …

… Let A = C[[Xo, 9 9 ., Xd]]/(f(X)) be the complete local ring of a nonsimple isolated hypersurface
singularity. Then there exists an arithmetic sequence of natural numbers r, 2r, 3r .... such …

… local ring of Krull dimension one then the category of Cohen-Macaulay modules coincides
with the category of … Note that the study of torsion free modules over curve singularities is …

… G-dimension) for finitely generated modules over a commutative noetherian local ring. In …
rings and maximal Cohen–Macaulay modules over commutative Gorenstein local rings. …

… Cohen-Macaulay type if and only if the local ring of / + xy in A[[… Since the isolated hypersurface
singularities of finite Cohen—… result implies that the local ring of a hypersurface singularity …

… Then, we further replace R by the local ring RP and everything by the base change to RP …
(R,m) is a d-dimensional Cohen–Macaulay normal local ring essentially of finite type over a …

… silting theory for algebras over any complete local base ring. The paper is therefore split into
… complete local ring, and the second on the application of these results to cDV singularities. …