… modules of infinite projective dimension. In this paper, among such modules, we deal with
eventually periodic modules … in terms of morphisms in the singularity category. As applications, …

… Then the root category RA of A is defined to be the 2-periodic … , its stable category of the
Z-graded modules admits a tilting … singularity category Dsg(modZ(Λk)) of the Z-graded modules …

… So Dsg of a complete local hyperasurface singularity is actually a 2-periodic triangulated
category. What sort of structure does this buy us? Can we write down a small 2-periodic model? …

… {X}}))\) of the stable category \(\underline{\mathcal {X}}\) of \(\mathcal {X}\). We consider when
the singularity category is triangle equivalent to the stable category of Gorenstein projective …

… algebras of Arnold's simple hypersurface singularities. Moreover, the module categories
mod KG of the … We consider now blocks with periodic module category which are not of finite …

… of singularity categories and stable categories of Gorenstein projective modules along a …
, that is, the classical adjoint triple between the module categories. In particular, we identify …

… algebra is singular, therefore it is not of blocks of quaternion type by definition. In the other
cases, the module category of the Jacobian algebra has at least 6 simple modules, in contrast …

… of periodic selfinjective algebras coming from the commutative algebra. These are the stable
Auslander algebras of the hypersurface singularities … the periodic modules and the periodic …

… Let T be a regular component of fA containing a periodic module. Is it true that the rank
ofT is equal or less than the length IAI (over R) of A? Find the best estimate for the rank ofT. …

… consisting of points x such that the 2-periodic complex defined by the pull-back of (E… singularity
category. More precisely, we have to work with the idempotent completion of this category …