Cotilting Sheaves over Weighted Noncommutative Regular Projective Curves

  • Dirk Kussin

    Technische Universität Berlin, Institut für Mathematik, Straße des 17. Juni 136, 10623 Berlin, Germany
  • Rosanna Laking

    Università degli Studi di Verona, Strada Le Grazie 15 - Ca' Vignal 2, I-37134 Verona, Italy
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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