62 citations · 265 across the 23 of their papers we have counts for
4 papers · 1 filter
Frobenius categories, Gorenstein algebras and rational surface singularities
Osamu Iyama, Martin Kalck, Michael Wemyss +1
We give sufficient conditions for a Frobenius category to be equivalent to the category of Gorenstein projective modules over an Iwanaga-Gorenstein ring. We then apply this result…
Spherical subcategories in algebraic geometry
Andreas Hochenegger, Martin Kalck, David Ploog
We study objects in triangulated categories which have a two-dimensional graded endomorphism algebra. Given such an object, we show that there is a unique maximal triangulated subc…
Singularity categories of gentle algebras
Martin Kalck
We determine the singularity category of an arbitrary finite dimensional gentle algebra . It is a finite product of -cluster categories of type . Equivalently…
Relative singularity categories I: Auslander resolutions
Martin Kalck, Dong Yang
Let be an isolated Gorenstein singularity with a non-commutative resolution . In this paper, we show that the relative singularity category of …