Let X be a weighted noncommutative regular projective curve over a field k. The category Qcoh X of quasicoherent sheaves is a hereditary, locally noetherian Grothendieck category. We classify all tilting sheaves which have a non-coherent torsion subsheaf. In case of nonnegative orbifold Euler characteristic we classify all large (that is, non-coherent) tilting sheaves and the corresponding resolving classes. In particular we show that in the elliptic and in the tubular cases every large tilting sheaf has a well-defined slope.
|Titolo:||Large tilting sheaves over weighted noncommutative regular projective curves|
|Data di pubblicazione:||2017|
|Appare nelle tipologie:||01.01 Articolo in Rivista|