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 |
Autori: | |
Data di pubblicazione: | 2017 |
Rivista: | |
Handle: | http://hdl.handle.net/11562/959481 |
Appare nelle tipologie: | 01.01 Articolo in Rivista |
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