Homological mirror symmetry for higher-dimensional pairs of pants Page 1 Homological
mirror symmetry for higher-dimensional pairs of pants Yankı Lekili and Alexander …

This work demonstrates classical generation is preserved by the derived pushforward along
the canonical morphism of a noncommutative scheme to its underlying scheme. There are …

We construct a noncommutative desingularization of the discriminant of a finite reflection
group G as a quotient of the skew group ring A= S∗ G. If G is generated by order 2 …

Let R be the coordinate ring of an affine toric variety. We prove, using direct elementary
methods, that the endomorphism ring End R (A), where A is the (finite) direct sum of all …

We introduce special classes of non-commutative crepant resolutions (= NCCR) which we
call steady and splitting. We show that a singularity has a steady splitting NCCR if and only if …

In this paper we consider reduced (non-normal) commutative noetherian rings $ R $. With
the help of conductor ideals and trace ideals of certain $ R $-modules we deduce a criterion …

Let R be a noetherian ring which is a finite module over its centre Z (R). This paper studies
the consequences for R of the hypothesis that it is a maximal Cohen Macaulay Z (R) …

We prove a tight connection between reflexive modules over a one-dimensional ring $ R $
and its birational extensions that are self-dual as $ R $-modules. Consequently, we show …

This paper deals with computing the global dimension of endomorphism rings of maximal
Cohen–Macaulay (= MCM) modules over commutative rings. Several examples are …

We study commutative Cohen-Macaulay rings whose Cohen-Macaulay representation
theory are controlled by representations of quivers, which we call hereditary representation …