11 citations · 41 across the 10 of their papers we have counts for
11 papers
Cotilting sheaves over weighted noncommutative regular projective curves
Dirk Kussin, Rosanna Laking
We consider the category of quasicoherent sheaves where is a weighted noncommutative regular projective curve over a field . This ca…
Tilting and cotilting modules over concealed canonical algebras
Lidia Angeleri Hügel, Dirk Kussin
We study infinite dimensional tilting modules over a concealed canonical algebra of domestic or tubular type. In the domestic case, such tilting modules are constructed by using th…
Large tilting sheaves over weighted noncommutative regular projective curves
Lidia Angeleri Hügel, Dirk Kussin
Let be a weighted noncommutative regular projective curve over a field . The category of quasicoherent sheaves is a hereditary, loca…
Weighted noncommutative regular projective curves
Dirk Kussin
Let be a noncommutative regular projective curve over a perfect field . We study global and local properties of the Auslander-Reiten translation and give an ex…
Triangle singularities, ADE-chains, and weighted projective lines
Dirk Kussin, Helmut Lenzing, Hagen Meltzer
We investigate the triangle singularity , or , attached to a weighted projective line given by the weight triple . We investigate the st…
Nilpotent operators and weighted projective lines
Dirk Kussin, Helmut Lenzing, Hagen Meltzer
We show a surprising link between singularity theory and the invariant subspace problem of nilpotent operators as recently studied by C. M. Ringel and M. Schmidmeier, a problem wit…