Cotilting Sheaves over Weighted Noncommutative Regular Projective Curves
Dirk Kussin
Technische Universität Berlin, Institut für Mathematik, Straße des 17. Juni 136, 10623 Berlin, GermanyRosanna Laking
Università degli Studi di Verona, Strada Le Grazie 15 - Ca' Vignal 2, I-37134 Verona, Italy
Abstract
We consider the category of quasicoherent sheaves where is a weighted noncommutative regular projective curve over a field . This category is a hereditary, locally noetherian Grothendieck category. We classify all indecomposable pure-injective sheaves and all cotilting sheaves of slope . In the cases of nonnegative orbifold Euler characteristic this leads to a classification of pure-injective indecomposable sheaves and a description of all large cotilting sheaves in .
Cite this article
Dirk Kussin, Rosanna Laking, Cotilting Sheaves over Weighted Noncommutative Regular Projective Curves. Doc. Math. 25 (2020), pp. 1029–1077
DOI 10.4171/DM/770